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Finding the Fourth Proportional to 8,846.31, 12,207.75 and 4,867.40

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Solution

The fourth proportional to 8,846.31, 12,207.75 and 4,867.40 is: 6,716.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,846.31 : 12,207.75 = 4,867.40 : x
  2. Step 2: Convert to fraction form
    8,846.31/12,207.75 = 4,867.40/x
  3. Step 3: Cross multiply
    8,846.31x = 12,207.75 × 4,867.40
  4. Step 4: Simplify right side
    8,846.31x = 59,419,941.31
  5. Step 5: Solve for x
    x = 59,419,941.31/8,846.31
  6. Step 6: Final answer
    x = 6,716.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.