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Finding the Fourth Proportional to 9,667.16, 14,497.65 and 3,091.78

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Solution

The fourth proportional to 9,667.16, 14,497.65 and 3,091.78 is: 4,636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.16 : 14,497.65 = 3,091.78 : x
  2. Step 2: Convert to fraction form
    9,667.16/14,497.65 = 3,091.78/x
  3. Step 3: Cross multiply
    9,667.16x = 14,497.65 × 3,091.78
  4. Step 4: Simplify right side
    9,667.16x = 44,823,562.44
  5. Step 5: Solve for x
    x = 44,823,562.44/9,667.16
  6. Step 6: Final answer
    x = 4,636.68

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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.