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Finding the Fourth Proportional to 9,863.32, 14,797.98 and 4,314.04

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Solution

The fourth proportional to 9,863.32, 14,797.98 and 4,314.04 is: 6,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.32 : 14,797.98 = 4,314.04 : x
  2. Step 2: Convert to fraction form
    9,863.32/14,797.98 = 4,314.04/x
  3. Step 3: Cross multiply
    9,863.32x = 14,797.98 × 4,314.04
  4. Step 4: Simplify right side
    9,863.32x = 63,839,077.64
  5. Step 5: Solve for x
    x = 63,839,077.64/9,863.32
  6. Step 6: Final answer
    x = 6,472.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.