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Finding the Fourth Proportional to 6,348.82, 9,506.67 and 5,109.46

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Solution

The fourth proportional to 6,348.82, 9,506.67 and 5,109.46 is: 7,650.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.82 : 9,506.67 = 5,109.46 : x
  2. Step 2: Convert to fraction form
    6,348.82/9,506.67 = 5,109.46/x
  3. Step 3: Cross multiply
    6,348.82x = 9,506.67 × 5,109.46
  4. Step 4: Simplify right side
    6,348.82x = 48,573,950.10
  5. Step 5: Solve for x
    x = 48,573,950.10/6,348.82
  6. Step 6: Final answer
    x = 7,650.86

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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.