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Finding the Fourth Proportional to 9,687.18, 13,366.82 and 5,438.46

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Solution

The fourth proportional to 9,687.18, 13,366.82 and 5,438.46 is: 7,504.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.18 : 13,366.82 = 5,438.46 : x
  2. Step 2: Convert to fraction form
    9,687.18/13,366.82 = 5,438.46/x
  3. Step 3: Cross multiply
    9,687.18x = 13,366.82 × 5,438.46
  4. Step 4: Simplify right side
    9,687.18x = 72,694,915.90
  5. Step 5: Solve for x
    x = 72,694,915.90/9,687.18
  6. Step 6: Final answer
    x = 7,504.24

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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.