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Finding the Fourth Proportional to 9,977.04, 13,768.42 and 5,500.96

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Solution

The fourth proportional to 9,977.04, 13,768.42 and 5,500.96 is: 7,591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.04 : 13,768.42 = 5,500.96 : x
  2. Step 2: Convert to fraction form
    9,977.04/13,768.42 = 5,500.96/x
  3. Step 3: Cross multiply
    9,977.04x = 13,768.42 × 5,500.96
  4. Step 4: Simplify right side
    9,977.04x = 75,739,527.68
  5. Step 5: Solve for x
    x = 75,739,527.68/9,977.04
  6. Step 6: Final answer
    x = 7,591.38

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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.