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Finding the Fourth Proportional to 9,217.88, 12,716.63 and 6,232.63

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Solution

The fourth proportional to 9,217.88, 12,716.63 and 6,232.63 is: 8,598.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,217.88 : 12,716.63 = 6,232.63 : x
  2. Step 2: Convert to fraction form
    9,217.88/12,716.63 = 6,232.63/x
  3. Step 3: Cross multiply
    9,217.88x = 12,716.63 × 6,232.63
  4. Step 4: Simplify right side
    9,217.88x = 79,258,049.64
  5. Step 5: Solve for x
    x = 79,258,049.64/9,217.88
  6. Step 6: Final answer
    x = 8,598.29

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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.