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Finding the Fourth Proportional to 9,246.92, 12,759.71 and 5,470.20

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Solution

The fourth proportional to 9,246.92, 12,759.71 and 5,470.20 is: 7,548.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.92 : 12,759.71 = 5,470.20 : x
  2. Step 2: Convert to fraction form
    9,246.92/12,759.71 = 5,470.20/x
  3. Step 3: Cross multiply
    9,246.92x = 12,759.71 × 5,470.20
  4. Step 4: Simplify right side
    9,246.92x = 69,798,138.29
  5. Step 5: Solve for x
    x = 69,798,138.29/9,246.92
  6. Step 6: Final answer
    x = 7,548.26

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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.