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Finding the Fourth Proportional to 9,314.28, 12,859.02 and 6,174.72

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Solution

The fourth proportional to 9,314.28, 12,859.02 and 6,174.72 is: 8,524.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.28 : 12,859.02 = 6,174.72 : x
  2. Step 2: Convert to fraction form
    9,314.28/12,859.02 = 6,174.72/x
  3. Step 3: Cross multiply
    9,314.28x = 12,859.02 × 6,174.72
  4. Step 4: Simplify right side
    9,314.28x = 79,400,847.97
  5. Step 5: Solve for x
    x = 79,400,847.97/9,314.28
  6. Step 6: Final answer
    x = 8,524.64

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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.