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Finding the Fourth Proportional to 9,732.67, 14,601.13 and 3,159.52

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Solution

The fourth proportional to 9,732.67, 14,601.13 and 3,159.52 is: 4,739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.67 : 14,601.13 = 3,159.52 : x
  2. Step 2: Convert to fraction form
    9,732.67/14,601.13 = 3,159.52/x
  3. Step 3: Cross multiply
    9,732.67x = 14,601.13 × 3,159.52
  4. Step 4: Simplify right side
    9,732.67x = 46,132,562.26
  5. Step 5: Solve for x
    x = 46,132,562.26/9,732.67
  6. Step 6: Final answer
    x = 4,739.97

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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.