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Finding the Fourth Proportional to 6,856.34, 9,461.69 and 3,872.11

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Solution

The fourth proportional to 6,856.34, 9,461.69 and 3,872.11 is: 5,343.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.34 : 9,461.69 = 3,872.11 : x
  2. Step 2: Convert to fraction form
    6,856.34/9,461.69 = 3,872.11/x
  3. Step 3: Cross multiply
    6,856.34x = 9,461.69 × 3,872.11
  4. Step 4: Simplify right side
    6,856.34x = 36,636,709.43
  5. Step 5: Solve for x
    x = 36,636,709.43/6,856.34
  6. Step 6: Final answer
    x = 5,343.48

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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.