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Finding the Fourth Proportional to 9,243.30, 12,755.67 and 5,264.40

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Solution

The fourth proportional to 9,243.30, 12,755.67 and 5,264.40 is: 7,264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.30 : 12,755.67 = 5,264.40 : x
  2. Step 2: Convert to fraction form
    9,243.30/12,755.67 = 5,264.40/x
  3. Step 3: Cross multiply
    9,243.30x = 12,755.67 × 5,264.40
  4. Step 4: Simplify right side
    9,243.30x = 67,150,949.15
  5. Step 5: Solve for x
    x = 67,150,949.15/9,243.30
  6. Step 6: Final answer
    x = 7,264.82

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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.