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Finding the Fourth Proportional to 6,077.76, 9,110.48 and 2,793.20

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Solution

The fourth proportional to 6,077.76, 9,110.48 and 2,793.20 is: 4,186.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.76 : 9,110.48 = 2,793.20 : x
  2. Step 2: Convert to fraction form
    6,077.76/9,110.48 = 2,793.20/x
  3. Step 3: Cross multiply
    6,077.76x = 9,110.48 × 2,793.20
  4. Step 4: Simplify right side
    6,077.76x = 25,447,392.74
  5. Step 5: Solve for x
    x = 25,447,392.74/6,077.76
  6. Step 6: Final answer
    x = 4,186.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.