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Finding the Fourth Proportional to 8,966.68, 13,441.82 and 3,772.92

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Solution

The fourth proportional to 8,966.68, 13,441.82 and 3,772.92 is: 5,655.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.68 : 13,441.82 = 3,772.92 : x
  2. Step 2: Convert to fraction form
    8,966.68/13,441.82 = 3,772.92/x
  3. Step 3: Cross multiply
    8,966.68x = 13,441.82 × 3,772.92
  4. Step 4: Simplify right side
    8,966.68x = 50,714,911.51
  5. Step 5: Solve for x
    x = 50,714,911.51/8,966.68
  6. Step 6: Final answer
    x = 5,655.93

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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.