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Finding the Fourth Proportional to 6,838.85, 9,437.67 and 3,854.40

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Solution

The fourth proportional to 6,838.85, 9,437.67 and 3,854.40 is: 5,319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.85 : 9,437.67 = 3,854.40 : x
  2. Step 2: Convert to fraction form
    6,838.85/9,437.67 = 3,854.40/x
  3. Step 3: Cross multiply
    6,838.85x = 9,437.67 × 3,854.40
  4. Step 4: Simplify right side
    6,838.85x = 36,376,555.25
  5. Step 5: Solve for x
    x = 36,376,555.25/6,838.85
  6. Step 6: Final answer
    x = 5,319.10

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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.