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Finding the Fourth Proportional to 6,702.32, 9,249.65 and 3,718.43

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Solution

The fourth proportional to 6,702.32, 9,249.65 and 3,718.43 is: 5,131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.32 : 9,249.65 = 3,718.43 : x
  2. Step 2: Convert to fraction form
    6,702.32/9,249.65 = 3,718.43/x
  3. Step 3: Cross multiply
    6,702.32x = 9,249.65 × 3,718.43
  4. Step 4: Simplify right side
    6,702.32x = 34,394,139.10
  5. Step 5: Solve for x
    x = 34,394,139.10/6,702.32
  6. Step 6: Final answer
    x = 5,131.68

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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.