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Finding the Fourth Proportional to 9,715.86, 13,414.34 and 7,473.78

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Solution

The fourth proportional to 9,715.86, 13,414.34 and 7,473.78 is: 10,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.86 : 13,414.34 = 7,473.78 : x
  2. Step 2: Convert to fraction form
    9,715.86/13,414.34 = 7,473.78/x
  3. Step 3: Cross multiply
    9,715.86x = 13,414.34 × 7,473.78
  4. Step 4: Simplify right side
    9,715.86x = 100,255,844.69
  5. Step 5: Solve for x
    x = 100,255,844.69/9,715.86
  6. Step 6: Final answer
    x = 10,318.78

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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.