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Finding the Fourth Proportional to 9,176.22, 12,661.32 and 5,588.78

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Solution

The fourth proportional to 9,176.22, 12,661.32 and 5,588.78 is: 7,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.22 : 12,661.32 = 5,588.78 : x
  2. Step 2: Convert to fraction form
    9,176.22/12,661.32 = 5,588.78/x
  3. Step 3: Cross multiply
    9,176.22x = 12,661.32 × 5,588.78
  4. Step 4: Simplify right side
    9,176.22x = 70,761,331.99
  5. Step 5: Solve for x
    x = 70,761,331.99/9,176.22
  6. Step 6: Final answer
    x = 7,711.38

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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.