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Finding the Fourth Proportional to 6,869.43, 9,478.71 and 3,884.58

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Solution

The fourth proportional to 6,869.43, 9,478.71 and 3,884.58 is: 5,360.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869.43 : 9,478.71 = 3,884.58 : x
  2. Step 2: Convert to fraction form
    6,869.43/9,478.71 = 3,884.58/x
  3. Step 3: Cross multiply
    6,869.43x = 9,478.71 × 3,884.58
  4. Step 4: Simplify right side
    6,869.43x = 36,820,807.29
  5. Step 5: Solve for x
    x = 36,820,807.29/6,869.43
  6. Step 6: Final answer
    x = 5,360.10

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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.