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Finding the Fourth Proportional to 9,674.64, 13,350.69 and 5,425.85

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Solution

The fourth proportional to 9,674.64, 13,350.69 and 5,425.85 is: 7,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.64 : 13,350.69 = 5,425.85 : x
  2. Step 2: Convert to fraction form
    9,674.64/13,350.69 = 5,425.85/x
  3. Step 3: Cross multiply
    9,674.64x = 13,350.69 × 5,425.85
  4. Step 4: Simplify right side
    9,674.64x = 72,438,874.71
  5. Step 5: Solve for x
    x = 72,438,874.71/9,674.64
  6. Step 6: Final answer
    x = 7,487.50

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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.