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Finding the Fourth Proportional to 6,861.64, 9,470.43 and 3,877.51

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Solution

The fourth proportional to 6,861.64, 9,470.43 and 3,877.51 is: 5,351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.64 : 9,470.43 = 3,877.51 : x
  2. Step 2: Convert to fraction form
    6,861.64/9,470.43 = 3,877.51/x
  3. Step 3: Cross multiply
    6,861.64x = 9,470.43 × 3,877.51
  4. Step 4: Simplify right side
    6,861.64x = 36,721,687.03
  5. Step 5: Solve for x
    x = 36,721,687.03/6,861.64
  6. Step 6: Final answer
    x = 5,351.74

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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.