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Finding the Fourth Proportional to 9,689.28, 13,371.20 and 5,497.52

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Solution

The fourth proportional to 9,689.28, 13,371.20 and 5,497.52 is: 7,586.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.28 : 13,371.20 = 5,497.52 : x
  2. Step 2: Convert to fraction form
    9,689.28/13,371.20 = 5,497.52/x
  3. Step 3: Cross multiply
    9,689.28x = 13,371.20 × 5,497.52
  4. Step 4: Simplify right side
    9,689.28x = 73,508,439.42
  5. Step 5: Solve for x
    x = 73,508,439.42/9,689.28
  6. Step 6: Final answer
    x = 7,586.57

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