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Finding the Fourth Proportional to 9,195.53, 13,793.30 and 6,427.61

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Solution

The fourth proportional to 9,195.53, 13,793.30 and 6,427.61 is: 9,641.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.53 : 13,793.30 = 6,427.61 : x
  2. Step 2: Convert to fraction form
    9,195.53/13,793.30 = 6,427.61/x
  3. Step 3: Cross multiply
    9,195.53x = 13,793.30 × 6,427.61
  4. Step 4: Simplify right side
    9,195.53x = 88,657,851.91
  5. Step 5: Solve for x
    x = 88,657,851.91/9,195.53
  6. Step 6: Final answer
    x = 9,641.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.