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Finding the Fourth Proportional to 6,211.57, 9,323.21 and 2,266.64

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Solution

The fourth proportional to 6,211.57, 9,323.21 and 2,266.64 is: 3,402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.57 : 9,323.21 = 2,266.64 : x
  2. Step 2: Convert to fraction form
    6,211.57/9,323.21 = 2,266.64/x
  3. Step 3: Cross multiply
    6,211.57x = 9,323.21 × 2,266.64
  4. Step 4: Simplify right side
    6,211.57x = 21,132,360.71
  5. Step 5: Solve for x
    x = 21,132,360.71/6,211.57
  6. Step 6: Final answer
    x = 3,402.10

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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.