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Finding the Fourth Proportional to 9,352.76, 12,906.42 and 5,160.92

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Solution

The fourth proportional to 9,352.76, 12,906.42 and 5,160.92 is: 7,121.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.76 : 12,906.42 = 5,160.92 : x
  2. Step 2: Convert to fraction form
    9,352.76/12,906.42 = 5,160.92/x
  3. Step 3: Cross multiply
    9,352.76x = 12,906.42 × 5,160.92
  4. Step 4: Simplify right side
    9,352.76x = 66,609,001.11
  5. Step 5: Solve for x
    x = 66,609,001.11/9,352.76
  6. Step 6: Final answer
    x = 7,121.86

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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.