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Finding the Fourth Proportional to 6,702.89, 9,250.13 and 3,718.61

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Solution

The fourth proportional to 6,702.89, 9,250.13 and 3,718.61 is: 5,131.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.89 : 9,250.13 = 3,718.61 : x
  2. Step 2: Convert to fraction form
    6,702.89/9,250.13 = 3,718.61/x
  3. Step 3: Cross multiply
    6,702.89x = 9,250.13 × 3,718.61
  4. Step 4: Simplify right side
    6,702.89x = 34,397,623.65
  5. Step 5: Solve for x
    x = 34,397,623.65/6,702.89
  6. Step 6: Final answer
    x = 5,131.76

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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.