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Finding the Fourth Proportional to 6,706.04, 9,254.19 and 3,721.70

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Solution

The fourth proportional to 6,706.04, 9,254.19 and 3,721.70 is: 5,135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.04 : 9,254.19 = 3,721.70 : x
  2. Step 2: Convert to fraction form
    6,706.04/9,254.19 = 3,721.70/x
  3. Step 3: Cross multiply
    6,706.04x = 9,254.19 × 3,721.70
  4. Step 4: Simplify right side
    6,706.04x = 34,441,286.61
  5. Step 5: Solve for x
    x = 34,441,286.61/6,706.04
  6. Step 6: Final answer
    x = 5,135.86

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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.