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Finding the Fourth Proportional to 9,288,411.10, 13,932,616.65 and 9,288,411.10

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Solution

The fourth proportional to 9,288,411.10, 13,932,616.65 and 9,288,411.10 is: 13,932,616.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288,411.10 : 13,932,616.65 = 9,288,411.10 : x
  2. Step 2: Convert to fraction form
    9,288,411.10/13,932,616.65 = 9,288,411.10/x
  3. Step 3: Cross multiply
    9,288,411.10x = 13,932,616.65 × 9,288,411.10
  4. Step 4: Simplify right side
    9,288,411.10x = 129,411,871,143,904.81
  5. Step 5: Solve for x
    x = 129,411,871,143,904.81/9,288,411.10
  6. Step 6: Final answer
    x = 13,932,616.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.