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Finding the Fourth Proportional to 6,856.45, 9,461.86 and 3,872.32

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Solution

The fourth proportional to 6,856.45, 9,461.86 and 3,872.32 is: 5,343.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.45 : 9,461.86 = 3,872.32 : x
  2. Step 2: Convert to fraction form
    6,856.45/9,461.86 = 3,872.32/x
  3. Step 3: Cross multiply
    6,856.45x = 9,461.86 × 3,872.32
  4. Step 4: Simplify right side
    6,856.45x = 36,639,349.72
  5. Step 5: Solve for x
    x = 36,639,349.72/6,856.45
  6. Step 6: Final answer
    x = 5,343.78

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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.