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Finding the Fourth Proportional to 6,875.85, 9,488.68 and 3,732.04

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Solution

The fourth proportional to 6,875.85, 9,488.68 and 3,732.04 is: 5,150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.85 : 9,488.68 = 3,732.04 : x
  2. Step 2: Convert to fraction form
    6,875.85/9,488.68 = 3,732.04/x
  3. Step 3: Cross multiply
    6,875.85x = 9,488.68 × 3,732.04
  4. Step 4: Simplify right side
    6,875.85x = 35,412,067.20
  5. Step 5: Solve for x
    x = 35,412,067.20/6,875.85
  6. Step 6: Final answer
    x = 5,150.21

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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.