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Finding the Fourth Proportional to 9,667.78, 14,494.57 and 3,090.17

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Solution

The fourth proportional to 9,667.78, 14,494.57 and 3,090.17 is: 4,632.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.78 : 14,494.57 = 3,090.17 : x
  2. Step 2: Convert to fraction form
    9,667.78/14,494.57 = 3,090.17/x
  3. Step 3: Cross multiply
    9,667.78x = 14,494.57 × 3,090.17
  4. Step 4: Simplify right side
    9,667.78x = 44,790,685.38
  5. Step 5: Solve for x
    x = 44,790,685.38/9,667.78
  6. Step 6: Final answer
    x = 4,632.99

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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.