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Finding the Fourth Proportional to 9,129.24, 13,697.76 and 2,889.76

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Solution

The fourth proportional to 9,129.24, 13,697.76 and 2,889.76 is: 4,335.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.24 : 13,697.76 = 2,889.76 : x
  2. Step 2: Convert to fraction form
    9,129.24/13,697.76 = 2,889.76/x
  3. Step 3: Cross multiply
    9,129.24x = 13,697.76 × 2,889.76
  4. Step 4: Simplify right side
    9,129.24x = 39,583,189.85
  5. Step 5: Solve for x
    x = 39,583,189.85/9,129.24
  6. Step 6: Final answer
    x = 4,335.87

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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.