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Finding the Fourth Proportional to 9,123.68, 13,675.98 and 5,169.98

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Solution

The fourth proportional to 9,123.68, 13,675.98 and 5,169.98 is: 7,749.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.68 : 13,675.98 = 5,169.98 : x
  2. Step 2: Convert to fraction form
    9,123.68/13,675.98 = 5,169.98/x
  3. Step 3: Cross multiply
    9,123.68x = 13,675.98 × 5,169.98
  4. Step 4: Simplify right side
    9,123.68x = 70,704,543.08
  5. Step 5: Solve for x
    x = 70,704,543.08/9,123.68
  6. Step 6: Final answer
    x = 7,749.56

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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.