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Finding the Fourth Proportional to 9,110.38, 12,578.13 and 7,435.78

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Solution

The fourth proportional to 9,110.38, 12,578.13 and 7,435.78 is: 10,266.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,110.38 : 12,578.13 = 7,435.78 : x
  2. Step 2: Convert to fraction form
    9,110.38/12,578.13 = 7,435.78/x
  3. Step 3: Cross multiply
    9,110.38x = 12,578.13 × 7,435.78
  4. Step 4: Simplify right side
    9,110.38x = 93,528,207.49
  5. Step 5: Solve for x
    x = 93,528,207.49/9,110.38
  6. Step 6: Final answer
    x = 10,266.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.