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Finding the Fourth Proportional to 9,839.18, 14,743.11 and 6,883.22

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Solution

The fourth proportional to 9,839.18, 14,743.11 and 6,883.22 is: 10,313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.18 : 14,743.11 = 6,883.22 : x
  2. Step 2: Convert to fraction form
    9,839.18/14,743.11 = 6,883.22/x
  3. Step 3: Cross multiply
    9,839.18x = 14,743.11 × 6,883.22
  4. Step 4: Simplify right side
    9,839.18x = 101,480,069.61
  5. Step 5: Solve for x
    x = 101,480,069.61/9,839.18
  6. Step 6: Final answer
    x = 10,313.87

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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.