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Finding the Fourth Proportional to 9,110.65, 12,572.76 and 5,131.39

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Solution

The fourth proportional to 9,110.65, 12,572.76 and 5,131.39 is: 7,081.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,110.65 : 12,572.76 = 5,131.39 : x
  2. Step 2: Convert to fraction form
    9,110.65/12,572.76 = 5,131.39/x
  3. Step 3: Cross multiply
    9,110.65x = 12,572.76 × 5,131.39
  4. Step 4: Simplify right side
    9,110.65x = 64,515,722.75
  5. Step 5: Solve for x
    x = 64,515,722.75/9,110.65
  6. Step 6: Final answer
    x = 7,081.35

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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.