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Finding the Fourth Proportional to 9,132.57, 13,700.23 and 3,287.81

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Solution

The fourth proportional to 9,132.57, 13,700.23 and 3,287.81 is: 4,932.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.57 : 13,700.23 = 3,287.81 : x
  2. Step 2: Convert to fraction form
    9,132.57/13,700.23 = 3,287.81/x
  3. Step 3: Cross multiply
    9,132.57x = 13,700.23 × 3,287.81
  4. Step 4: Simplify right side
    9,132.57x = 45,043,779.23
  5. Step 5: Solve for x
    x = 45,043,779.23/9,132.57
  6. Step 6: Final answer
    x = 4,932.21

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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.