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Finding the Fourth Proportional to 9,489.69, 14,234.57 and 2,915.87

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Solution

The fourth proportional to 9,489.69, 14,234.57 and 2,915.87 is: 4,373.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.69 : 14,234.57 = 2,915.87 : x
  2. Step 2: Convert to fraction form
    9,489.69/14,234.57 = 2,915.87/x
  3. Step 3: Cross multiply
    9,489.69x = 14,234.57 × 2,915.87
  4. Step 4: Simplify right side
    9,489.69x = 41,506,105.46
  5. Step 5: Solve for x
    x = 41,506,105.46/9,489.69
  6. Step 6: Final answer
    x = 4,373.81

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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.