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Finding the Fourth Proportional to 8,231.95, 12,347.49 and 2,309.25

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Solution

The fourth proportional to 8,231.95, 12,347.49 and 2,309.25 is: 3,463.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.95 : 12,347.49 = 2,309.25 : x
  2. Step 2: Convert to fraction form
    8,231.95/12,347.49 = 2,309.25/x
  3. Step 3: Cross multiply
    8,231.95x = 12,347.49 × 2,309.25
  4. Step 4: Simplify right side
    8,231.95x = 28,513,422.46
  5. Step 5: Solve for x
    x = 28,513,422.46/8,231.95
  6. Step 6: Final answer
    x = 3,463.75

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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.