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Finding the Fourth Proportional to 9,129.68, 13,694.52 and 7,102.16

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Solution

The fourth proportional to 9,129.68, 13,694.52 and 7,102.16 is: 10,653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.68 : 13,694.52 = 7,102.16 : x
  2. Step 2: Convert to fraction form
    9,129.68/13,694.52 = 7,102.16/x
  3. Step 3: Cross multiply
    9,129.68x = 13,694.52 × 7,102.16
  4. Step 4: Simplify right side
    9,129.68x = 97,260,672.16
  5. Step 5: Solve for x
    x = 97,260,672.16/9,129.68
  6. Step 6: Final answer
    x = 10,653.24

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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.