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Finding the Fourth Proportional to 6,427.71, 8,870.31 and 3,775.17

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Solution

The fourth proportional to 6,427.71, 8,870.31 and 3,775.17 is: 5,209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.71 : 8,870.31 = 3,775.17 : x
  2. Step 2: Convert to fraction form
    6,427.71/8,870.31 = 3,775.17/x
  3. Step 3: Cross multiply
    6,427.71x = 8,870.31 × 3,775.17
  4. Step 4: Simplify right side
    6,427.71x = 33,486,928.20
  5. Step 5: Solve for x
    x = 33,486,928.20/6,427.71
  6. Step 6: Final answer
    x = 5,209.78

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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.