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Finding the Fourth Proportional to 9,877.32, 13,624.78 and 6,520.20

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Solution

The fourth proportional to 9,877.32, 13,624.78 and 6,520.20 is: 8,993.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.32 : 13,624.78 = 6,520.20 : x
  2. Step 2: Convert to fraction form
    9,877.32/13,624.78 = 6,520.20/x
  3. Step 3: Cross multiply
    9,877.32x = 13,624.78 × 6,520.20
  4. Step 4: Simplify right side
    9,877.32x = 88,836,290.56
  5. Step 5: Solve for x
    x = 88,836,290.56/9,877.32
  6. Step 6: Final answer
    x = 8,993.97

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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.