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Finding the Fourth Proportional to 6,838.93, 9,438.12 and 3,854.89

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Solution

The fourth proportional to 6,838.93, 9,438.12 and 3,854.89 is: 5,319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.93 : 9,438.12 = 3,854.89 : x
  2. Step 2: Convert to fraction form
    6,838.93/9,438.12 = 3,854.89/x
  3. Step 3: Cross multiply
    6,838.93x = 9,438.12 × 3,854.89
  4. Step 4: Simplify right side
    6,838.93x = 36,382,926.20
  5. Step 5: Solve for x
    x = 36,382,926.20/6,838.93
  6. Step 6: Final answer
    x = 5,319.97

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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.