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Finding the Fourth Proportional to 9,244.33, 13,867.02 and 6,281.52

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Solution

The fourth proportional to 9,244.33, 13,867.02 and 6,281.52 is: 9,422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244.33 : 13,867.02 = 6,281.52 : x
  2. Step 2: Convert to fraction form
    9,244.33/13,867.02 = 6,281.52/x
  3. Step 3: Cross multiply
    9,244.33x = 13,867.02 × 6,281.52
  4. Step 4: Simplify right side
    9,244.33x = 87,105,963.47
  5. Step 5: Solve for x
    x = 87,105,963.47/9,244.33
  6. Step 6: Final answer
    x = 9,422.64

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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.