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Finding the Fourth Proportional to 9,129.36, 13,692.96 and 3,586.80

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Solution

The fourth proportional to 9,129.36, 13,692.96 and 3,586.80 is: 5,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.36 : 13,692.96 = 3,586.80 : x
  2. Step 2: Convert to fraction form
    9,129.36/13,692.96 = 3,586.80/x
  3. Step 3: Cross multiply
    9,129.36x = 13,692.96 × 3,586.80
  4. Step 4: Simplify right side
    9,129.36x = 49,113,908.93
  5. Step 5: Solve for x
    x = 49,113,908.93/9,129.36
  6. Step 6: Final answer
    x = 5,379.78

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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.