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Finding the Fourth Proportional to 10,074.27, 13,909.42 and 6,299.27

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Solution

The fourth proportional to 10,074.27, 13,909.42 and 6,299.27 is: 8,697.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.27 : 13,909.42 = 6,299.27 : x
  2. Step 2: Convert to fraction form
    10,074.27/13,909.42 = 6,299.27/x
  3. Step 3: Cross multiply
    10,074.27x = 13,909.42 × 6,299.27
  4. Step 4: Simplify right side
    10,074.27x = 87,619,182.61
  5. Step 5: Solve for x
    x = 87,619,182.61/10,074.27
  6. Step 6: Final answer
    x = 8,697.32

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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.