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Finding the Fourth Proportional to 9,669.12, 13,347.60 and 6,137.76

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Solution

The fourth proportional to 9,669.12, 13,347.60 and 6,137.76 is: 8,472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.12 : 13,347.60 = 6,137.76 : x
  2. Step 2: Convert to fraction form
    9,669.12/13,347.60 = 6,137.76/x
  3. Step 3: Cross multiply
    9,669.12x = 13,347.60 × 6,137.76
  4. Step 4: Simplify right side
    9,669.12x = 81,924,365.38
  5. Step 5: Solve for x
    x = 81,924,365.38/9,669.12
  6. Step 6: Final answer
    x = 8,472.78

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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.