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Finding the Fourth Proportional to 9,892.73, 14,839.40 and 4,343.22

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Solution

The fourth proportional to 9,892.73, 14,839.40 and 4,343.22 is: 6,514.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.73 : 14,839.40 = 4,343.22 : x
  2. Step 2: Convert to fraction form
    9,892.73/14,839.40 = 4,343.22/x
  3. Step 3: Cross multiply
    9,892.73x = 14,839.40 × 4,343.22
  4. Step 4: Simplify right side
    9,892.73x = 64,450,789.73
  5. Step 5: Solve for x
    x = 64,450,789.73/9,892.73
  6. Step 6: Final answer
    x = 6,514.96

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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.