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Finding the Fourth Proportional to 6,854.76, 9,459.30 and 3,870.12

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Solution

The fourth proportional to 6,854.76, 9,459.30 and 3,870.12 is: 5,340.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.76 : 9,459.30 = 3,870.12 : x
  2. Step 2: Convert to fraction form
    6,854.76/9,459.30 = 3,870.12/x
  3. Step 3: Cross multiply
    6,854.76x = 9,459.30 × 3,870.12
  4. Step 4: Simplify right side
    6,854.76x = 36,608,626.12
  5. Step 5: Solve for x
    x = 36,608,626.12/6,854.76
  6. Step 6: Final answer
    x = 5,340.61

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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.