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Finding the Fourth Proportional to 9,104.13, 12,563.64 and 5,749.11

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Solution

The fourth proportional to 9,104.13, 12,563.64 and 5,749.11 is: 7,933.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.13 : 12,563.64 = 5,749.11 : x
  2. Step 2: Convert to fraction form
    9,104.13/12,563.64 = 5,749.11/x
  3. Step 3: Cross multiply
    9,104.13x = 12,563.64 × 5,749.11
  4. Step 4: Simplify right side
    9,104.13x = 72,229,748.36
  5. Step 5: Solve for x
    x = 72,229,748.36/9,104.13
  6. Step 6: Final answer
    x = 7,933.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.