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Finding the Fourth Proportional to 9,131.85, 13,697.78 and 3,128.38

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Solution

The fourth proportional to 9,131.85, 13,697.78 and 3,128.38 is: 4,692.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.85 : 13,697.78 = 3,128.38 : x
  2. Step 2: Convert to fraction form
    9,131.85/13,697.78 = 3,128.38/x
  3. Step 3: Cross multiply
    9,131.85x = 13,697.78 × 3,128.38
  4. Step 4: Simplify right side
    9,131.85x = 42,851,861.00
  5. Step 5: Solve for x
    x = 42,851,861.00/9,131.85
  6. Step 6: Final answer
    x = 4,692.57

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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.