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Finding the Fourth Proportional to 9,387.83, 14,072.43 and 5,229.74

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Solution

The fourth proportional to 9,387.83, 14,072.43 and 5,229.74 is: 7,839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.83 : 14,072.43 = 5,229.74 : x
  2. Step 2: Convert to fraction form
    9,387.83/14,072.43 = 5,229.74/x
  3. Step 3: Cross multiply
    9,387.83x = 14,072.43 × 5,229.74
  4. Step 4: Simplify right side
    9,387.83x = 73,595,150.07
  5. Step 5: Solve for x
    x = 73,595,150.07/9,387.83
  6. Step 6: Final answer
    x = 7,839.42

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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.