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Finding the Fourth Proportional to 6,440.96, 9,661.08 and 2,280.80

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Solution

The fourth proportional to 6,440.96, 9,661.08 and 2,280.80 is: 3,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.96 : 9,661.08 = 2,280.80 : x
  2. Step 2: Convert to fraction form
    6,440.96/9,661.08 = 2,280.80/x
  3. Step 3: Cross multiply
    6,440.96x = 9,661.08 × 2,280.80
  4. Step 4: Simplify right side
    6,440.96x = 22,034,991.26
  5. Step 5: Solve for x
    x = 22,034,991.26/6,440.96
  6. Step 6: Final answer
    x = 3,421.07

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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.