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Finding the Fourth Proportional to 6,705.45, 9,254.34 and 3,872.82

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Solution

The fourth proportional to 6,705.45, 9,254.34 and 3,872.82 is: 5,344.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.45 : 9,254.34 = 3,872.82 : x
  2. Step 2: Convert to fraction form
    6,705.45/9,254.34 = 3,872.82/x
  3. Step 3: Cross multiply
    6,705.45x = 9,254.34 × 3,872.82
  4. Step 4: Simplify right side
    6,705.45x = 35,840,393.04
  5. Step 5: Solve for x
    x = 35,840,393.04/6,705.45
  6. Step 6: Final answer
    x = 5,344.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.