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Finding the Fourth Proportional to 9,842.32, 14,770.50 and 5,463.28

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Solution

The fourth proportional to 9,842.32, 14,770.50 and 5,463.28 is: 8,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.32 : 14,770.50 = 5,463.28 : x
  2. Step 2: Convert to fraction form
    9,842.32/14,770.50 = 5,463.28/x
  3. Step 3: Cross multiply
    9,842.32x = 14,770.50 × 5,463.28
  4. Step 4: Simplify right side
    9,842.32x = 80,695,377.24
  5. Step 5: Solve for x
    x = 80,695,377.24/9,842.32
  6. Step 6: Final answer
    x = 8,198.82

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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.