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Finding the Fourth Proportional to 9,601.40, 14,402.10 and 2,675.90

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Solution

The fourth proportional to 9,601.40, 14,402.10 and 2,675.90 is: 4,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.40 : 14,402.10 = 2,675.90 : x
  2. Step 2: Convert to fraction form
    9,601.40/14,402.10 = 2,675.90/x
  3. Step 3: Cross multiply
    9,601.40x = 14,402.10 × 2,675.90
  4. Step 4: Simplify right side
    9,601.40x = 38,538,579.39
  5. Step 5: Solve for x
    x = 38,538,579.39/9,601.40
  6. Step 6: Final answer
    x = 4,013.85

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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.