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Finding the Fourth Proportional to 6,854.58, 9,459.31 and 3,710.78

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Solution

The fourth proportional to 6,854.58, 9,459.31 and 3,710.78 is: 5,120.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.58 : 9,459.31 = 3,710.78 : x
  2. Step 2: Convert to fraction form
    6,854.58/9,459.31 = 3,710.78/x
  3. Step 3: Cross multiply
    6,854.58x = 9,459.31 × 3,710.78
  4. Step 4: Simplify right side
    6,854.58x = 35,101,418.36
  5. Step 5: Solve for x
    x = 35,101,418.36/6,854.58
  6. Step 6: Final answer
    x = 5,120.87

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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.