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Finding the Fourth Proportional to 9,801.25, 13,522.17 and 6,445.87

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Solution

The fourth proportional to 9,801.25, 13,522.17 and 6,445.87 is: 8,892.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.25 : 13,522.17 = 6,445.87 : x
  2. Step 2: Convert to fraction form
    9,801.25/13,522.17 = 6,445.87/x
  3. Step 3: Cross multiply
    9,801.25x = 13,522.17 × 6,445.87
  4. Step 4: Simplify right side
    9,801.25x = 87,162,149.94
  5. Step 5: Solve for x
    x = 87,162,149.94/9,801.25
  6. Step 6: Final answer
    x = 8,892.96

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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.