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Finding the Fourth Proportional to 10,318.43, 14,239.23 and 6,069.95

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Solution

The fourth proportional to 10,318.43, 14,239.23 and 6,069.95 is: 8,376.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318.43 : 14,239.23 = 6,069.95 : x
  2. Step 2: Convert to fraction form
    10,318.43/14,239.23 = 6,069.95/x
  3. Step 3: Cross multiply
    10,318.43x = 14,239.23 × 6,069.95
  4. Step 4: Simplify right side
    10,318.43x = 86,431,414.14
  5. Step 5: Solve for x
    x = 86,431,414.14/10,318.43
  6. Step 6: Final answer
    x = 8,376.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.