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Finding the Fourth Proportional to 9,331.30, 13,928.67 and 8,224.17

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Solution

The fourth proportional to 9,331.30, 13,928.67 and 8,224.17 is: 12,276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.30 : 13,928.67 = 8,224.17 : x
  2. Step 2: Convert to fraction form
    9,331.30/13,928.67 = 8,224.17/x
  3. Step 3: Cross multiply
    9,331.30x = 13,928.67 × 8,224.17
  4. Step 4: Simplify right side
    9,331.30x = 114,551,749.95
  5. Step 5: Solve for x
    x = 114,551,749.95/9,331.30
  6. Step 6: Final answer
    x = 12,276.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.