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Finding the Fourth Proportional to 6,096.06, 9,077.54 and 5,874.66

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Solution

The fourth proportional to 6,096.06, 9,077.54 and 5,874.66 is: 8,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.06 : 9,077.54 = 5,874.66 : x
  2. Step 2: Convert to fraction form
    6,096.06/9,077.54 = 5,874.66/x
  3. Step 3: Cross multiply
    6,096.06x = 9,077.54 × 5,874.66
  4. Step 4: Simplify right side
    6,096.06x = 53,327,431.76
  5. Step 5: Solve for x
    x = 53,327,431.76/6,096.06
  6. Step 6: Final answer
    x = 8,747.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.