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Finding the Fourth Proportional to 9,397.72, 12,963.44 and 5,854.78

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Solution

The fourth proportional to 9,397.72, 12,963.44 and 5,854.78 is: 8,076.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.72 : 12,963.44 = 5,854.78 : x
  2. Step 2: Convert to fraction form
    9,397.72/12,963.44 = 5,854.78/x
  3. Step 3: Cross multiply
    9,397.72x = 12,963.44 × 5,854.78
  4. Step 4: Simplify right side
    9,397.72x = 75,898,120.08
  5. Step 5: Solve for x
    x = 75,898,120.08/9,397.72
  6. Step 6: Final answer
    x = 8,076.23

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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.