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Finding the Fourth Proportional to 9,244.91, 13,863.71 and 3,980.31

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Solution

The fourth proportional to 9,244.91, 13,863.71 and 3,980.31 is: 5,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244.91 : 13,863.71 = 3,980.31 : x
  2. Step 2: Convert to fraction form
    9,244.91/13,863.71 = 3,980.31/x
  3. Step 3: Cross multiply
    9,244.91x = 13,863.71 × 3,980.31
  4. Step 4: Simplify right side
    9,244.91x = 55,181,873.50
  5. Step 5: Solve for x
    x = 55,181,873.50/9,244.91
  6. Step 6: Final answer
    x = 5,968.90

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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.