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Finding the Fourth Proportional to 6,270.18, 9,403.94 and 4,042.34

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Solution

The fourth proportional to 6,270.18, 9,403.94 and 4,042.34 is: 6,062.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.18 : 9,403.94 = 4,042.34 : x
  2. Step 2: Convert to fraction form
    6,270.18/9,403.94 = 4,042.34/x
  3. Step 3: Cross multiply
    6,270.18x = 9,403.94 × 4,042.34
  4. Step 4: Simplify right side
    6,270.18x = 38,013,922.82
  5. Step 5: Solve for x
    x = 38,013,922.82/6,270.18
  6. Step 6: Final answer
    x = 6,062.65

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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.