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Finding the Fourth Proportional to 9,128.34, 13,690.74 and 3,861.62

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Solution

The fourth proportional to 9,128.34, 13,690.74 and 3,861.62 is: 5,791.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,128.34 : 13,690.74 = 3,861.62 : x
  2. Step 2: Convert to fraction form
    9,128.34/13,690.74 = 3,861.62/x
  3. Step 3: Cross multiply
    9,128.34x = 13,690.74 × 3,861.62
  4. Step 4: Simplify right side
    9,128.34x = 52,868,435.40
  5. Step 5: Solve for x
    x = 52,868,435.40/9,128.34
  6. Step 6: Final answer
    x = 5,791.68

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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.