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Finding the Fourth Proportional to 9,744.32, 14,591.20 and 6,778.64

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Solution

The fourth proportional to 9,744.32, 14,591.20 and 6,778.64 is: 10,150.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.32 : 14,591.20 = 6,778.64 : x
  2. Step 2: Convert to fraction form
    9,744.32/14,591.20 = 6,778.64/x
  3. Step 3: Cross multiply
    9,744.32x = 14,591.20 × 6,778.64
  4. Step 4: Simplify right side
    9,744.32x = 98,908,491.97
  5. Step 5: Solve for x
    x = 98,908,491.97/9,744.32
  6. Step 6: Final answer
    x = 10,150.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.