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Finding the Fourth Proportional to 9,778.27, 14,667.39 and 2,758.27

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Solution

The fourth proportional to 9,778.27, 14,667.39 and 2,758.27 is: 4,137.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.27 : 14,667.39 = 2,758.27 : x
  2. Step 2: Convert to fraction form
    9,778.27/14,667.39 = 2,758.27/x
  3. Step 3: Cross multiply
    9,778.27x = 14,667.39 × 2,758.27
  4. Step 4: Simplify right side
    9,778.27x = 40,456,621.82
  5. Step 5: Solve for x
    x = 40,456,621.82/9,778.27
  6. Step 6: Final answer
    x = 4,137.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.