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Finding the Fourth Proportional to 6,120.65, 9,177.60 and 1,902.76

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Solution

The fourth proportional to 6,120.65, 9,177.60 and 1,902.76 is: 2,853.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120.65 : 9,177.60 = 1,902.76 : x
  2. Step 2: Convert to fraction form
    6,120.65/9,177.60 = 1,902.76/x
  3. Step 3: Cross multiply
    6,120.65x = 9,177.60 × 1,902.76
  4. Step 4: Simplify right side
    6,120.65x = 17,462,770.18
  5. Step 5: Solve for x
    x = 17,462,770.18/6,120.65
  6. Step 6: Final answer
    x = 2,853.09

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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.