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Finding the Fourth Proportional to 9,177.76, 12,666.38 and 5,451.76

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Solution

The fourth proportional to 9,177.76, 12,666.38 and 5,451.76 is: 7,524.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.76 : 12,666.38 = 5,451.76 : x
  2. Step 2: Convert to fraction form
    9,177.76/12,666.38 = 5,451.76/x
  3. Step 3: Cross multiply
    9,177.76x = 12,666.38 × 5,451.76
  4. Step 4: Simplify right side
    9,177.76x = 69,054,063.83
  5. Step 5: Solve for x
    x = 69,054,063.83/9,177.76
  6. Step 6: Final answer
    x = 7,524.07

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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.