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Finding the Fourth Proportional to 9,310.38, 13,946.82 and 5,601.24

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Solution

The fourth proportional to 9,310.38, 13,946.82 and 5,601.24 is: 8,390.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.38 : 13,946.82 = 5,601.24 : x
  2. Step 2: Convert to fraction form
    9,310.38/13,946.82 = 5,601.24/x
  3. Step 3: Cross multiply
    9,310.38x = 13,946.82 × 5,601.24
  4. Step 4: Simplify right side
    9,310.38x = 78,119,486.06
  5. Step 5: Solve for x
    x = 78,119,486.06/9,310.38
  6. Step 6: Final answer
    x = 8,390.58

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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.