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Finding the Fourth Proportional to 9,732.56, 14,601.28 and 2,807.04

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Solution

The fourth proportional to 9,732.56, 14,601.28 and 2,807.04 is: 4,211.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.56 : 14,601.28 = 2,807.04 : x
  2. Step 2: Convert to fraction form
    9,732.56/14,601.28 = 2,807.04/x
  3. Step 3: Cross multiply
    9,732.56x = 14,601.28 × 2,807.04
  4. Step 4: Simplify right side
    9,732.56x = 40,986,377.01
  5. Step 5: Solve for x
    x = 40,986,377.01/9,732.56
  6. Step 6: Final answer
    x = 4,211.26

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