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Finding the Fourth Proportional to 9,552.38, 13,179.12 and 5,776.70

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Solution

The fourth proportional to 9,552.38, 13,179.12 and 5,776.70 is: 7,969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552.38 : 13,179.12 = 5,776.70 : x
  2. Step 2: Convert to fraction form
    9,552.38/13,179.12 = 5,776.70/x
  3. Step 3: Cross multiply
    9,552.38x = 13,179.12 × 5,776.70
  4. Step 4: Simplify right side
    9,552.38x = 76,131,822.50
  5. Step 5: Solve for x
    x = 76,131,822.50/9,552.38
  6. Step 6: Final answer
    x = 7,969.93

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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.