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Finding the Fourth Proportional to 8,963, 13,444.45 and 2,299.47

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Solution

The fourth proportional to 8,963, 13,444.45 and 2,299.47 is: 3,449.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,963 : 13,444.45 = 2,299.47 : x
  2. Step 2: Convert to fraction form
    8,963/13,444.45 = 2,299.47/x
  3. Step 3: Cross multiply
    8,963x = 13,444.45 × 2,299.47
  4. Step 4: Simplify right side
    8,963x = 30,915,109.44
  5. Step 5: Solve for x
    x = 30,915,109.44/8,963
  6. Step 6: Final answer
    x = 3,449.19

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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.