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Finding the Fourth Proportional to 9,061.28, 13,597 and 4,901.20

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Solution

The fourth proportional to 9,061.28, 13,597 and 4,901.20 is: 7,354.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,061.28 : 13,597 = 4,901.20 : x
  2. Step 2: Convert to fraction form
    9,061.28/13,597 = 4,901.20/x
  3. Step 3: Cross multiply
    9,061.28x = 13,597 × 4,901.20
  4. Step 4: Simplify right side
    9,061.28x = 66,641,616.40
  5. Step 5: Solve for x
    x = 66,641,616.40/9,061.28
  6. Step 6: Final answer
    x = 7,354.55

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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.