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Finding the Fourth Proportional to 9,412.74, 14,174.11 and 6,964.78

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Solution

The fourth proportional to 9,412.74, 14,174.11 and 6,964.78 is: 10,487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.74 : 14,174.11 = 6,964.78 : x
  2. Step 2: Convert to fraction form
    9,412.74/14,174.11 = 6,964.78/x
  3. Step 3: Cross multiply
    9,412.74x = 14,174.11 × 6,964.78
  4. Step 4: Simplify right side
    9,412.74x = 98,719,557.85
  5. Step 5: Solve for x
    x = 98,719,557.85/9,412.74
  6. Step 6: Final answer
    x = 10,487.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.