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Finding the Fourth Proportional to 6,965.69, 9,614.52 and 4,311.59

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Solution

The fourth proportional to 6,965.69, 9,614.52 and 4,311.59 is: 5,951.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.69 : 9,614.52 = 4,311.59 : x
  2. Step 2: Convert to fraction form
    6,965.69/9,614.52 = 4,311.59/x
  3. Step 3: Cross multiply
    6,965.69x = 9,614.52 × 4,311.59
  4. Step 4: Simplify right side
    6,965.69x = 41,453,820.21
  5. Step 5: Solve for x
    x = 41,453,820.21/6,965.69
  6. Step 6: Final answer
    x = 5,951.15

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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.