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Finding the Fourth Proportional to 6,293.77, 9,442.02 and 2,398.17

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Solution

The fourth proportional to 6,293.77, 9,442.02 and 2,398.17 is: 3,597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.77 : 9,442.02 = 2,398.17 : x
  2. Step 2: Convert to fraction form
    6,293.77/9,442.02 = 2,398.17/x
  3. Step 3: Cross multiply
    6,293.77x = 9,442.02 × 2,398.17
  4. Step 4: Simplify right side
    6,293.77x = 22,643,595.80
  5. Step 5: Solve for x
    x = 22,643,595.80/6,293.77
  6. Step 6: Final answer
    x = 3,597.78

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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.