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Finding the Fourth Proportional to 9,224.30, 12,733.65 and 6,249.17

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Solution

The fourth proportional to 9,224.30, 12,733.65 and 6,249.17 is: 8,626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.30 : 12,733.65 = 6,249.17 : x
  2. Step 2: Convert to fraction form
    9,224.30/12,733.65 = 6,249.17/x
  3. Step 3: Cross multiply
    9,224.30x = 12,733.65 × 6,249.17
  4. Step 4: Simplify right side
    9,224.30x = 79,574,679.90
  5. Step 5: Solve for x
    x = 79,574,679.90/9,224.30
  6. Step 6: Final answer
    x = 8,626.64

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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.