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Finding the Fourth Proportional to 6,062.84, 9,094.24 and 1,902.88

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Solution

The fourth proportional to 6,062.84, 9,094.24 and 1,902.88 is: 2,854.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,062.84 : 9,094.24 = 1,902.88 : x
  2. Step 2: Convert to fraction form
    6,062.84/9,094.24 = 1,902.88/x
  3. Step 3: Cross multiply
    6,062.84x = 9,094.24 × 1,902.88
  4. Step 4: Simplify right side
    6,062.84x = 17,305,247.41
  5. Step 5: Solve for x
    x = 17,305,247.41/6,062.84
  6. Step 6: Final answer
    x = 2,854.31

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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.