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Finding the Fourth Proportional to 6,451.95, 9,675.60 and 2,234.06

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Solution

The fourth proportional to 6,451.95, 9,675.60 and 2,234.06 is: 3,350.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.95 : 9,675.60 = 2,234.06 : x
  2. Step 2: Convert to fraction form
    6,451.95/9,675.60 = 2,234.06/x
  3. Step 3: Cross multiply
    6,451.95x = 9,675.60 × 2,234.06
  4. Step 4: Simplify right side
    6,451.95x = 21,615,811.39
  5. Step 5: Solve for x
    x = 21,615,811.39/6,451.95
  6. Step 6: Final answer
    x = 3,350.28

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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.