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Finding the Fourth Proportional to 9,819.88, 14,729.82 and 5,713

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Solution

The fourth proportional to 9,819.88, 14,729.82 and 5,713 is: 8,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.88 : 14,729.82 = 5,713 : x
  2. Step 2: Convert to fraction form
    9,819.88/14,729.82 = 5,713/x
  3. Step 3: Cross multiply
    9,819.88x = 14,729.82 × 5,713
  4. Step 4: Simplify right side
    9,819.88x = 84,151,461.66
  5. Step 5: Solve for x
    x = 84,151,461.66/9,819.88
  6. Step 6: Final answer
    x = 8,569.50

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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.