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Finding the Fourth Proportional to 9,262.12, 13,892.82 and 3,713.80

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Solution

The fourth proportional to 9,262.12, 13,892.82 and 3,713.80 is: 5,570.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.12 : 13,892.82 = 3,713.80 : x
  2. Step 2: Convert to fraction form
    9,262.12/13,892.82 = 3,713.80/x
  3. Step 3: Cross multiply
    9,262.12x = 13,892.82 × 3,713.80
  4. Step 4: Simplify right side
    9,262.12x = 51,595,154.92
  5. Step 5: Solve for x
    x = 51,595,154.92/9,262.12
  6. Step 6: Final answer
    x = 5,570.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.