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Finding the Fourth Proportional to 6,868.56, 9,478.78 and 3,884.24

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Solution

The fourth proportional to 6,868.56, 9,478.78 and 3,884.24 is: 5,360.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,868.56 : 9,478.78 = 3,884.24 : x
  2. Step 2: Convert to fraction form
    6,868.56/9,478.78 = 3,884.24/x
  3. Step 3: Cross multiply
    6,868.56x = 9,478.78 × 3,884.24
  4. Step 4: Simplify right side
    6,868.56x = 36,817,856.43
  5. Step 5: Solve for x
    x = 36,817,856.43/6,868.56
  6. Step 6: Final answer
    x = 5,360.35

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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.