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Finding the Fourth Proportional to 6,854.47, 9,459.18 and 3,710.66

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Solution

The fourth proportional to 6,854.47, 9,459.18 and 3,710.66 is: 5,120.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.47 : 9,459.18 = 3,710.66 : x
  2. Step 2: Convert to fraction form
    6,854.47/9,459.18 = 3,710.66/x
  3. Step 3: Cross multiply
    6,854.47x = 9,459.18 × 3,710.66
  4. Step 4: Simplify right side
    6,854.47x = 35,099,753.56
  5. Step 5: Solve for x
    x = 35,099,753.56/6,854.47
  6. Step 6: Final answer
    x = 5,120.71

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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.