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Finding the Fourth Proportional to 9,284.38, 13,930.08 and 5,589.22

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Solution

The fourth proportional to 9,284.38, 13,930.08 and 5,589.22 is: 8,385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.38 : 13,930.08 = 5,589.22 : x
  2. Step 2: Convert to fraction form
    9,284.38/13,930.08 = 5,589.22/x
  3. Step 3: Cross multiply
    9,284.38x = 13,930.08 × 5,589.22
  4. Step 4: Simplify right side
    9,284.38x = 77,858,281.74
  5. Step 5: Solve for x
    x = 77,858,281.74/9,284.38
  6. Step 6: Final answer
    x = 8,385.94

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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.