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Finding the Fourth Proportional to 9,132.12, 13,692.94 and 3,578.96

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Solution

The fourth proportional to 9,132.12, 13,692.94 and 3,578.96 is: 5,366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.12 : 13,692.94 = 3,578.96 : x
  2. Step 2: Convert to fraction form
    9,132.12/13,692.94 = 3,578.96/x
  3. Step 3: Cross multiply
    9,132.12x = 13,692.94 × 3,578.96
  4. Step 4: Simplify right side
    9,132.12x = 49,006,509.83
  5. Step 5: Solve for x
    x = 49,006,509.83/9,132.12
  6. Step 6: Final answer
    x = 5,366.39

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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.