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Finding the Fourth Proportional to 8,991.30, 12,407.70 and 5,635.92

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Solution

The fourth proportional to 8,991.30, 12,407.70 and 5,635.92 is: 7,777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,991.30 : 12,407.70 = 5,635.92 : x
  2. Step 2: Convert to fraction form
    8,991.30/12,407.70 = 5,635.92/x
  3. Step 3: Cross multiply
    8,991.30x = 12,407.70 × 5,635.92
  4. Step 4: Simplify right side
    8,991.30x = 69,928,804.58
  5. Step 5: Solve for x
    x = 69,928,804.58/8,991.30
  6. Step 6: Final answer
    x = 7,777.39

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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.