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Finding the Fourth Proportional to 6,876.31, 9,489.43 and 4,487.80

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Solution

The fourth proportional to 6,876.31, 9,489.43 and 4,487.80 is: 6,193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.31 : 9,489.43 = 4,487.80 : x
  2. Step 2: Convert to fraction form
    6,876.31/9,489.43 = 4,487.80/x
  3. Step 3: Cross multiply
    6,876.31x = 9,489.43 × 4,487.80
  4. Step 4: Simplify right side
    6,876.31x = 42,586,663.95
  5. Step 5: Solve for x
    x = 42,586,663.95/6,876.31
  6. Step 6: Final answer
    x = 6,193.25

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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.