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Finding the Fourth Proportional to 9,018.64, 13,516.44 and 7,843.78

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Solution

The fourth proportional to 9,018.64, 13,516.44 and 7,843.78 is: 11,755.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,018.64 : 13,516.44 = 7,843.78 : x
  2. Step 2: Convert to fraction form
    9,018.64/13,516.44 = 7,843.78/x
  3. Step 3: Cross multiply
    9,018.64x = 13,516.44 × 7,843.78
  4. Step 4: Simplify right side
    9,018.64x = 106,019,981.74
  5. Step 5: Solve for x
    x = 106,019,981.74/9,018.64
  6. Step 6: Final answer
    x = 11,755.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.