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Finding the Fourth Proportional to 9,667.34, 14,503.17 and 3,093.92

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Solution

The fourth proportional to 9,667.34, 14,503.17 and 3,093.92 is: 4,641.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.34 : 14,503.17 = 3,093.92 : x
  2. Step 2: Convert to fraction form
    9,667.34/14,503.17 = 3,093.92/x
  3. Step 3: Cross multiply
    9,667.34x = 14,503.17 × 3,093.92
  4. Step 4: Simplify right side
    9,667.34x = 44,871,647.73
  5. Step 5: Solve for x
    x = 44,871,647.73/9,667.34
  6. Step 6: Final answer
    x = 4,641.57

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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.