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Finding the Fourth Proportional to 9,138.68, 13,708.29 and 2,564.86

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Solution

The fourth proportional to 9,138.68, 13,708.29 and 2,564.86 is: 3,847.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.68 : 13,708.29 = 2,564.86 : x
  2. Step 2: Convert to fraction form
    9,138.68/13,708.29 = 2,564.86/x
  3. Step 3: Cross multiply
    9,138.68x = 13,708.29 × 2,564.86
  4. Step 4: Simplify right side
    9,138.68x = 35,159,844.69
  5. Step 5: Solve for x
    x = 35,159,844.69/9,138.68
  6. Step 6: Final answer
    x = 3,847.37

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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.