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Finding the Fourth Proportional to 10,120.62, 15,105.99 and 9,497.34

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Solution

The fourth proportional to 10,120.62, 15,105.99 and 9,497.34 is: 14,175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,120.62 : 15,105.99 = 9,497.34 : x
  2. Step 2: Convert to fraction form
    10,120.62/15,105.99 = 9,497.34/x
  3. Step 3: Cross multiply
    10,120.62x = 15,105.99 × 9,497.34
  4. Step 4: Simplify right side
    10,120.62x = 143,466,723.07
  5. Step 5: Solve for x
    x = 143,466,723.07/10,120.62
  6. Step 6: Final answer
    x = 14,175.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.