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Finding the Fourth Proportional to 9,930.98, 13,705.84 and 5,682.43

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Solution

The fourth proportional to 9,930.98, 13,705.84 and 5,682.43 is: 7,842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.98 : 13,705.84 = 5,682.43 : x
  2. Step 2: Convert to fraction form
    9,930.98/13,705.84 = 5,682.43/x
  3. Step 3: Cross multiply
    9,930.98x = 13,705.84 × 5,682.43
  4. Step 4: Simplify right side
    9,930.98x = 77,882,476.39
  5. Step 5: Solve for x
    x = 77,882,476.39/9,930.98
  6. Step 6: Final answer
    x = 7,842.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.