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Finding the Fourth Proportional to 6,854.64, 9,459.42 and 3,710.85

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Solution

The fourth proportional to 6,854.64, 9,459.42 and 3,710.85 is: 5,120.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.64 : 9,459.42 = 3,710.85 : x
  2. Step 2: Convert to fraction form
    6,854.64/9,459.42 = 3,710.85/x
  3. Step 3: Cross multiply
    6,854.64x = 9,459.42 × 3,710.85
  4. Step 4: Simplify right side
    6,854.64x = 35,102,488.71
  5. Step 5: Solve for x
    x = 35,102,488.71/6,854.64
  6. Step 6: Final answer
    x = 5,120.98

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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.