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Finding the Fourth Proportional to 9,513.92, 13,112.88 and 7,151.96

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Solution

The fourth proportional to 9,513.92, 13,112.88 and 7,151.96 is: 9,857.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.92 : 13,112.88 = 7,151.96 : x
  2. Step 2: Convert to fraction form
    9,513.92/13,112.88 = 7,151.96/x
  3. Step 3: Cross multiply
    9,513.92x = 13,112.88 × 7,151.96
  4. Step 4: Simplify right side
    9,513.92x = 93,782,793.24
  5. Step 5: Solve for x
    x = 93,782,793.24/9,513.92
  6. Step 6: Final answer
    x = 9,857.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.