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Finding the Fourth Proportional to 6,202.58, 9,302.95 and 2,042.42

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Solution

The fourth proportional to 6,202.58, 9,302.95 and 2,042.42 is: 3,063.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.58 : 9,302.95 = 2,042.42 : x
  2. Step 2: Convert to fraction form
    6,202.58/9,302.95 = 2,042.42/x
  3. Step 3: Cross multiply
    6,202.58x = 9,302.95 × 2,042.42
  4. Step 4: Simplify right side
    6,202.58x = 19,000,487.18
  5. Step 5: Solve for x
    x = 19,000,487.18/6,202.58
  6. Step 6: Final answer
    x = 3,063.32

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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.