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Finding the Fourth Proportional to 9,508.88, 14,266 and 8,327.88

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Solution

The fourth proportional to 9,508.88, 14,266 and 8,327.88 is: 12,494.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.88 : 14,266 = 8,327.88 : x
  2. Step 2: Convert to fraction form
    9,508.88/14,266 = 8,327.88/x
  3. Step 3: Cross multiply
    9,508.88x = 14,266 × 8,327.88
  4. Step 4: Simplify right side
    9,508.88x = 118,805,536.08
  5. Step 5: Solve for x
    x = 118,805,536.08/9,508.88
  6. Step 6: Final answer
    x = 12,494.17

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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.