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Finding the Fourth Proportional to 9,148.52, 13,689.96 and 7,920.16

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Solution

The fourth proportional to 9,148.52, 13,689.96 and 7,920.16 is: 11,851.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.52 : 13,689.96 = 7,920.16 : x
  2. Step 2: Convert to fraction form
    9,148.52/13,689.96 = 7,920.16/x
  3. Step 3: Cross multiply
    9,148.52x = 13,689.96 × 7,920.16
  4. Step 4: Simplify right side
    9,148.52x = 108,426,673.59
  5. Step 5: Solve for x
    x = 108,426,673.59/9,148.52
  6. Step 6: Final answer
    x = 11,851.83

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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.