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Finding the Fourth Proportional to 6,531.71, 9,795.05 and 3,197.90

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Solution

The fourth proportional to 6,531.71, 9,795.05 and 3,197.90 is: 4,795.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.71 : 9,795.05 = 3,197.90 : x
  2. Step 2: Convert to fraction form
    6,531.71/9,795.05 = 3,197.90/x
  3. Step 3: Cross multiply
    6,531.71x = 9,795.05 × 3,197.90
  4. Step 4: Simplify right side
    6,531.71x = 31,323,555.79
  5. Step 5: Solve for x
    x = 31,323,555.79/6,531.71
  6. Step 6: Final answer
    x = 4,795.62

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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.