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Finding the Fourth Proportional to 9,952.88, 14,919.28 and 6,257.75

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Solution

The fourth proportional to 9,952.88, 14,919.28 and 6,257.75 is: 9,380.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.88 : 14,919.28 = 6,257.75 : x
  2. Step 2: Convert to fraction form
    9,952.88/14,919.28 = 6,257.75/x
  3. Step 3: Cross multiply
    9,952.88x = 14,919.28 × 6,257.75
  4. Step 4: Simplify right side
    9,952.88x = 93,361,034.18
  5. Step 5: Solve for x
    x = 93,361,034.18/9,952.88
  6. Step 6: Final answer
    x = 9,380.31

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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.