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Finding the Fourth Proportional to 6,840, 9,438.66 and 3,854.88

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Solution

The fourth proportional to 6,840, 9,438.66 and 3,854.88 is: 5,319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840 : 9,438.66 = 3,854.88 : x
  2. Step 2: Convert to fraction form
    6,840/9,438.66 = 3,854.88/x
  3. Step 3: Cross multiply
    6,840x = 9,438.66 × 3,854.88
  4. Step 4: Simplify right side
    6,840x = 36,384,901.66
  5. Step 5: Solve for x
    x = 36,384,901.66/6,840
  6. Step 6: Final answer
    x = 5,319.43

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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.