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Finding the Fourth Proportional to 6,702.71, 9,249.42 and 3,718.51

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Solution

The fourth proportional to 6,702.71, 9,249.42 and 3,718.51 is: 5,131.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.71 : 9,249.42 = 3,718.51 : x
  2. Step 2: Convert to fraction form
    6,702.71/9,249.42 = 3,718.51/x
  3. Step 3: Cross multiply
    6,702.71x = 9,249.42 × 3,718.51
  4. Step 4: Simplify right side
    6,702.71x = 34,394,037.64
  5. Step 5: Solve for x
    x = 34,394,037.64/6,702.71
  6. Step 6: Final answer
    x = 5,131.37

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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.