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Finding the Fourth Proportional to 6,838.45, 9,437.29 and 3,854.41

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Solution

The fourth proportional to 6,838.45, 9,437.29 and 3,854.41 is: 5,319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.45 : 9,437.29 = 3,854.41 : x
  2. Step 2: Convert to fraction form
    6,838.45/9,437.29 = 3,854.41/x
  3. Step 3: Cross multiply
    6,838.45x = 9,437.29 × 3,854.41
  4. Step 4: Simplify right side
    6,838.45x = 36,375,151.72
  5. Step 5: Solve for x
    x = 36,375,151.72/6,838.45
  6. Step 6: Final answer
    x = 5,319.21

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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.