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Finding the Fourth Proportional to 6,202.32, 9,295.38 and 5,330.76

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Solution

The fourth proportional to 6,202.32, 9,295.38 and 5,330.76 is: 7,989.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.32 : 9,295.38 = 5,330.76 : x
  2. Step 2: Convert to fraction form
    6,202.32/9,295.38 = 5,330.76/x
  3. Step 3: Cross multiply
    6,202.32x = 9,295.38 × 5,330.76
  4. Step 4: Simplify right side
    6,202.32x = 49,551,439.89
  5. Step 5: Solve for x
    x = 49,551,439.89/6,202.32
  6. Step 6: Final answer
    x = 7,989.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.