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Finding the Fourth Proportional to 9,166.83, 13,749.43 and 2,592.87

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Solution

The fourth proportional to 9,166.83, 13,749.43 and 2,592.87 is: 3,889.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.83 : 13,749.43 = 2,592.87 : x
  2. Step 2: Convert to fraction form
    9,166.83/13,749.43 = 2,592.87/x
  3. Step 3: Cross multiply
    9,166.83x = 13,749.43 × 2,592.87
  4. Step 4: Simplify right side
    9,166.83x = 35,650,484.56
  5. Step 5: Solve for x
    x = 35,650,484.56/9,166.83
  6. Step 6: Final answer
    x = 3,889.07

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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.