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Finding the Fourth Proportional to 8,964.32, 13,444.20 and 6,356.33

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Solution

The fourth proportional to 8,964.32, 13,444.20 and 6,356.33 is: 9,532.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.32 : 13,444.20 = 6,356.33 : x
  2. Step 2: Convert to fraction form
    8,964.32/13,444.20 = 6,356.33/x
  3. Step 3: Cross multiply
    8,964.32x = 13,444.20 × 6,356.33
  4. Step 4: Simplify right side
    8,964.32x = 85,455,704.57
  5. Step 5: Solve for x
    x = 85,455,704.57/8,964.32
  6. Step 6: Final answer
    x = 9,532.87

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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.