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Finding the Fourth Proportional to 6,439.76, 8,895.38 and 4,966.17

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Solution

The fourth proportional to 6,439.76, 8,895.38 and 4,966.17 is: 6,859.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.76 : 8,895.38 = 4,966.17 : x
  2. Step 2: Convert to fraction form
    6,439.76/8,895.38 = 4,966.17/x
  3. Step 3: Cross multiply
    6,439.76x = 8,895.38 × 4,966.17
  4. Step 4: Simplify right side
    6,439.76x = 44,175,969.29
  5. Step 5: Solve for x
    x = 44,175,969.29/6,439.76
  6. Step 6: Final answer
    x = 6,859.88

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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.