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Finding the Fourth Proportional to 9,101.23, 13,651.92 and 2,861.10

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Solution

The fourth proportional to 9,101.23, 13,651.92 and 2,861.10 is: 4,291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.23 : 13,651.92 = 2,861.10 : x
  2. Step 2: Convert to fraction form
    9,101.23/13,651.92 = 2,861.10/x
  3. Step 3: Cross multiply
    9,101.23x = 13,651.92 × 2,861.10
  4. Step 4: Simplify right side
    9,101.23x = 39,059,508.31
  5. Step 5: Solve for x
    x = 39,059,508.31/9,101.23
  6. Step 6: Final answer
    x = 4,291.67

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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.