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Finding the Fourth Proportional to 6,856.64, 9,462.24 and 3,871.88

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Solution

The fourth proportional to 6,856.64, 9,462.24 and 3,871.88 is: 5,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.64 : 9,462.24 = 3,871.88 : x
  2. Step 2: Convert to fraction form
    6,856.64/9,462.24 = 3,871.88/x
  3. Step 3: Cross multiply
    6,856.64x = 9,462.24 × 3,871.88
  4. Step 4: Simplify right side
    6,856.64x = 36,636,657.81
  5. Step 5: Solve for x
    x = 36,636,657.81/6,856.64
  6. Step 6: Final answer
    x = 5,343.24

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Why These Related Problems?

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