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Finding the Fourth Proportional to 8,641.77, 12,967.70 and 3,643.84

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Solution

The fourth proportional to 8,641.77, 12,967.70 and 3,643.84 is: 5,467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.77 : 12,967.70 = 3,643.84 : x
  2. Step 2: Convert to fraction form
    8,641.77/12,967.70 = 3,643.84/x
  3. Step 3: Cross multiply
    8,641.77x = 12,967.70 × 3,643.84
  4. Step 4: Simplify right side
    8,641.77x = 47,252,173.33
  5. Step 5: Solve for x
    x = 47,252,173.33/8,641.77
  6. Step 6: Final answer
    x = 5,467.88

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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.