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Finding the Fourth Proportional to 9,864.87, 14,803.16 and 3,944.55

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Solution

The fourth proportional to 9,864.87, 14,803.16 and 3,944.55 is: 5,919.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.87 : 14,803.16 = 3,944.55 : x
  2. Step 2: Convert to fraction form
    9,864.87/14,803.16 = 3,944.55/x
  3. Step 3: Cross multiply
    9,864.87x = 14,803.16 × 3,944.55
  4. Step 4: Simplify right side
    9,864.87x = 58,391,785.06
  5. Step 5: Solve for x
    x = 58,391,785.06/9,864.87
  6. Step 6: Final answer
    x = 5,919.16

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Why These Related Problems?

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