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Finding the Fourth Proportional to 9,110.61, 12,572.42 and 5,131.49

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Solution

The fourth proportional to 9,110.61, 12,572.42 and 5,131.49 is: 7,081.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,110.61 : 12,572.42 = 5,131.49 : x
  2. Step 2: Convert to fraction form
    9,110.61/12,572.42 = 5,131.49/x
  3. Step 3: Cross multiply
    9,110.61x = 12,572.42 × 5,131.49
  4. Step 4: Simplify right side
    9,110.61x = 64,515,158.99
  5. Step 5: Solve for x
    x = 64,515,158.99/9,110.61
  6. Step 6: Final answer
    x = 7,081.32

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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.