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Finding the Fourth Proportional to 9,605.20, 13,256.52 and 5,414.48

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Solution

The fourth proportional to 9,605.20, 13,256.52 and 5,414.48 is: 7,472.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.20 : 13,256.52 = 5,414.48 : x
  2. Step 2: Convert to fraction form
    9,605.20/13,256.52 = 5,414.48/x
  3. Step 3: Cross multiply
    9,605.20x = 13,256.52 × 5,414.48
  4. Step 4: Simplify right side
    9,605.20x = 71,777,162.41
  5. Step 5: Solve for x
    x = 71,777,162.41/9,605.20
  6. Step 6: Final answer
    x = 7,472.74

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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.