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Finding the Fourth Proportional to 9,604.38, 13,265.07 and 6,412.11

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Solution

The fourth proportional to 9,604.38, 13,265.07 and 6,412.11 is: 8,856.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.38 : 13,265.07 = 6,412.11 : x
  2. Step 2: Convert to fraction form
    9,604.38/13,265.07 = 6,412.11/x
  3. Step 3: Cross multiply
    9,604.38x = 13,265.07 × 6,412.11
  4. Step 4: Simplify right side
    9,604.38x = 85,057,088.00
  5. Step 5: Solve for x
    x = 85,057,088.00/9,604.38
  6. Step 6: Final answer
    x = 8,856.07

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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.