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Finding the Fourth Proportional to 9,990.38, 13,786.86 and 5,742.08

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Solution

The fourth proportional to 9,990.38, 13,786.86 and 5,742.08 is: 7,924.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,990.38 : 13,786.86 = 5,742.08 : x
  2. Step 2: Convert to fraction form
    9,990.38/13,786.86 = 5,742.08/x
  3. Step 3: Cross multiply
    9,990.38x = 13,786.86 × 5,742.08
  4. Step 4: Simplify right side
    9,990.38x = 79,165,253.07
  5. Step 5: Solve for x
    x = 79,165,253.07/9,990.38
  6. Step 6: Final answer
    x = 7,924.15

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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.