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Finding the Fourth Proportional to 6,543.06, 9,808.31 and 4,196.49

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Solution

The fourth proportional to 6,543.06, 9,808.31 and 4,196.49 is: 6,290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.06 : 9,808.31 = 4,196.49 : x
  2. Step 2: Convert to fraction form
    6,543.06/9,808.31 = 4,196.49/x
  3. Step 3: Cross multiply
    6,543.06x = 9,808.31 × 4,196.49
  4. Step 4: Simplify right side
    6,543.06x = 41,160,453.85
  5. Step 5: Solve for x
    x = 41,160,453.85/6,543.06
  6. Step 6: Final answer
    x = 6,290.70

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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.