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Finding the Fourth Proportional to 6,781.50, 9,358.56 and 3,987

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Solution

The fourth proportional to 6,781.50, 9,358.56 and 3,987 is: 5,502.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.50 : 9,358.56 = 3,987 : x
  2. Step 2: Convert to fraction form
    6,781.50/9,358.56 = 3,987/x
  3. Step 3: Cross multiply
    6,781.50x = 9,358.56 × 3,987
  4. Step 4: Simplify right side
    6,781.50x = 37,312,578.72
  5. Step 5: Solve for x
    x = 37,312,578.72/6,781.50
  6. Step 6: Final answer
    x = 5,502.11

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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.