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Finding the Fourth Proportional to 9,669.50, 13,350.35 and 7,427.38

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Solution

The fourth proportional to 9,669.50, 13,350.35 and 7,427.38 is: 10,254.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.50 : 13,350.35 = 7,427.38 : x
  2. Step 2: Convert to fraction form
    9,669.50/13,350.35 = 7,427.38/x
  3. Step 3: Cross multiply
    9,669.50x = 13,350.35 × 7,427.38
  4. Step 4: Simplify right side
    9,669.50x = 99,158,122.58
  5. Step 5: Solve for x
    x = 99,158,122.58/9,669.50
  6. Step 6: Final answer
    x = 10,254.73

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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.