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Finding the Fourth Proportional to 8,770.32, 13,129.20 and 6,463.44

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Solution

The fourth proportional to 8,770.32, 13,129.20 and 6,463.44 is: 9,675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,770.32 : 13,129.20 = 6,463.44 : x
  2. Step 2: Convert to fraction form
    8,770.32/13,129.20 = 6,463.44/x
  3. Step 3: Cross multiply
    8,770.32x = 13,129.20 × 6,463.44
  4. Step 4: Simplify right side
    8,770.32x = 84,859,796.45
  5. Step 5: Solve for x
    x = 84,859,796.45/8,770.32
  6. Step 6: Final answer
    x = 9,675.79

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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.