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Finding the Fourth Proportional to 9,474.76, 14,207.82 and 5,580.28

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Solution

The fourth proportional to 9,474.76, 14,207.82 and 5,580.28 is: 8,367.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.76 : 14,207.82 = 5,580.28 : x
  2. Step 2: Convert to fraction form
    9,474.76/14,207.82 = 5,580.28/x
  3. Step 3: Cross multiply
    9,474.76x = 14,207.82 × 5,580.28
  4. Step 4: Simplify right side
    9,474.76x = 79,283,613.79
  5. Step 5: Solve for x
    x = 79,283,613.79/9,474.76
  6. Step 6: Final answer
    x = 8,367.88

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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.