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Finding the Fourth Proportional to 9,883.16, 14,824.32 and 2,863.16

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Solution

The fourth proportional to 9,883.16, 14,824.32 and 2,863.16 is: 4,294.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.16 : 14,824.32 = 2,863.16 : x
  2. Step 2: Convert to fraction form
    9,883.16/14,824.32 = 2,863.16/x
  3. Step 3: Cross multiply
    9,883.16x = 14,824.32 × 2,863.16
  4. Step 4: Simplify right side
    9,883.16x = 42,444,400.05
  5. Step 5: Solve for x
    x = 42,444,400.05/9,883.16
  6. Step 6: Final answer
    x = 4,294.62

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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.