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Finding the Fourth Proportional to 9,938.84, 13,714.72 and 5,962.14

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Solution

The fourth proportional to 9,938.84, 13,714.72 and 5,962.14 is: 8,227.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.84 : 13,714.72 = 5,962.14 : x
  2. Step 2: Convert to fraction form
    9,938.84/13,714.72 = 5,962.14/x
  3. Step 3: Cross multiply
    9,938.84x = 13,714.72 × 5,962.14
  4. Step 4: Simplify right side
    9,938.84x = 81,769,065.80
  5. Step 5: Solve for x
    x = 81,769,065.80/9,938.84
  6. Step 6: Final answer
    x = 8,227.23

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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.