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Finding the Fourth Proportional to 6,508.38, 9,764.66 and 2,348.35

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Solution

The fourth proportional to 6,508.38, 9,764.66 and 2,348.35 is: 3,523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.38 : 9,764.66 = 2,348.35 : x
  2. Step 2: Convert to fraction form
    6,508.38/9,764.66 = 2,348.35/x
  3. Step 3: Cross multiply
    6,508.38x = 9,764.66 × 2,348.35
  4. Step 4: Simplify right side
    6,508.38x = 22,930,839.31
  5. Step 5: Solve for x
    x = 22,930,839.31/6,508.38
  6. Step 6: Final answer
    x = 3,523.28

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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.