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Finding the Fourth Proportional to 6,580.12, 9,869.01 and 2,197.03

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Solution

The fourth proportional to 6,580.12, 9,869.01 and 2,197.03 is: 3,295.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.12 : 9,869.01 = 2,197.03 : x
  2. Step 2: Convert to fraction form
    6,580.12/9,869.01 = 2,197.03/x
  3. Step 3: Cross multiply
    6,580.12x = 9,869.01 × 2,197.03
  4. Step 4: Simplify right side
    6,580.12x = 21,682,511.04
  5. Step 5: Solve for x
    x = 21,682,511.04/6,580.12
  6. Step 6: Final answer
    x = 3,295.15

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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.