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Finding the Fourth Proportional to 9,976.38, 13,667.70 and 9,602.70

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Solution

The fourth proportional to 9,976.38, 13,667.70 and 9,602.70 is: 13,155.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.38 : 13,667.70 = 9,602.70 : x
  2. Step 2: Convert to fraction form
    9,976.38/13,667.70 = 9,602.70/x
  3. Step 3: Cross multiply
    9,976.38x = 13,667.70 × 9,602.70
  4. Step 4: Simplify right side
    9,976.38x = 131,246,822.79
  5. Step 5: Solve for x
    x = 131,246,822.79/9,976.38
  6. Step 6: Final answer
    x = 13,155.76

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.