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Finding the Fourth Proportional to 6,882.40, 9,498.32 and 4,193.28

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Solution

The fourth proportional to 6,882.40, 9,498.32 and 4,193.28 is: 5,787.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.40 : 9,498.32 = 4,193.28 : x
  2. Step 2: Convert to fraction form
    6,882.40/9,498.32 = 4,193.28/x
  3. Step 3: Cross multiply
    6,882.40x = 9,498.32 × 4,193.28
  4. Step 4: Simplify right side
    6,882.40x = 39,829,115.29
  5. Step 5: Solve for x
    x = 39,829,115.29/6,882.40
  6. Step 6: Final answer
    x = 5,787.10

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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.