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Finding the Fourth Proportional to 6,657.96, 9,980.25 and 2,272.41

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Solution

The fourth proportional to 6,657.96, 9,980.25 and 2,272.41 is: 3,406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.96 : 9,980.25 = 2,272.41 : x
  2. Step 2: Convert to fraction form
    6,657.96/9,980.25 = 2,272.41/x
  3. Step 3: Cross multiply
    6,657.96x = 9,980.25 × 2,272.41
  4. Step 4: Simplify right side
    6,657.96x = 22,679,219.90
  5. Step 5: Solve for x
    x = 22,679,219.90/6,657.96
  6. Step 6: Final answer
    x = 3,406.33

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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.