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Finding the Fourth Proportional to 6,706.85, 9,253.31 and 3,873.85

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Solution

The fourth proportional to 6,706.85, 9,253.31 and 3,873.85 is: 5,344.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.85 : 9,253.31 = 3,873.85 : x
  2. Step 2: Convert to fraction form
    6,706.85/9,253.31 = 3,873.85/x
  3. Step 3: Cross multiply
    6,706.85x = 9,253.31 × 3,873.85
  4. Step 4: Simplify right side
    6,706.85x = 35,845,934.94
  5. Step 5: Solve for x
    x = 35,845,934.94/6,706.85
  6. Step 6: Final answer
    x = 5,344.68

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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.