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Finding the Fourth Proportional to 9,551.38, 13,177.74 and 5,775.70

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Solution

The fourth proportional to 9,551.38, 13,177.74 and 5,775.70 is: 7,968.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,551.38 : 13,177.74 = 5,775.70 : x
  2. Step 2: Convert to fraction form
    9,551.38/13,177.74 = 5,775.70/x
  3. Step 3: Cross multiply
    9,551.38x = 13,177.74 × 5,775.70
  4. Step 4: Simplify right side
    9,551.38x = 76,110,672.92
  5. Step 5: Solve for x
    x = 76,110,672.92/9,551.38
  6. Step 6: Final answer
    x = 7,968.55

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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.