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Finding the Fourth Proportional to 6,262.24, 9,398.12 and 2,317.23

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Solution

The fourth proportional to 6,262.24, 9,398.12 and 2,317.23 is: 3,477.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.24 : 9,398.12 = 2,317.23 : x
  2. Step 2: Convert to fraction form
    6,262.24/9,398.12 = 2,317.23/x
  3. Step 3: Cross multiply
    6,262.24x = 9,398.12 × 2,317.23
  4. Step 4: Simplify right side
    6,262.24x = 21,777,605.61
  5. Step 5: Solve for x
    x = 21,777,605.61/6,262.24
  6. Step 6: Final answer
    x = 3,477.61

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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.