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Finding the Fourth Proportional to 9,672.16, 14,515.53 and 4,481.68

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Solution

The fourth proportional to 9,672.16, 14,515.53 and 4,481.68 is: 6,725.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.16 : 14,515.53 = 4,481.68 : x
  2. Step 2: Convert to fraction form
    9,672.16/14,515.53 = 4,481.68/x
  3. Step 3: Cross multiply
    9,672.16x = 14,515.53 × 4,481.68
  4. Step 4: Simplify right side
    9,672.16x = 65,053,960.49
  5. Step 5: Solve for x
    x = 65,053,960.49/9,672.16
  6. Step 6: Final answer
    x = 6,725.90

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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.