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Finding the Fourth Proportional to 6,387.31, 8,808.82 and 4,147.06

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Solution

The fourth proportional to 6,387.31, 8,808.82 and 4,147.06 is: 5,719.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.31 : 8,808.82 = 4,147.06 : x
  2. Step 2: Convert to fraction form
    6,387.31/8,808.82 = 4,147.06/x
  3. Step 3: Cross multiply
    6,387.31x = 8,808.82 × 4,147.06
  4. Step 4: Simplify right side
    6,387.31x = 36,530,705.07
  5. Step 5: Solve for x
    x = 36,530,705.07/6,387.31
  6. Step 6: Final answer
    x = 5,719.26

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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.