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Finding the Fourth Proportional to 9,411.69, 12,988.38 and 5,162.94

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Solution

The fourth proportional to 9,411.69, 12,988.38 and 5,162.94 is: 7,124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.69 : 12,988.38 = 5,162.94 : x
  2. Step 2: Convert to fraction form
    9,411.69/12,988.38 = 5,162.94/x
  3. Step 3: Cross multiply
    9,411.69x = 12,988.38 × 5,162.94
  4. Step 4: Simplify right side
    9,411.69x = 67,058,226.64
  5. Step 5: Solve for x
    x = 67,058,226.64/9,411.69
  6. Step 6: Final answer
    x = 7,124.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.