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Finding the Fourth Proportional to 9,161.64, 13,739.15 and 3,897

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Solution

The fourth proportional to 9,161.64, 13,739.15 and 3,897 is: 5,844.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.64 : 13,739.15 = 3,897 : x
  2. Step 2: Convert to fraction form
    9,161.64/13,739.15 = 3,897/x
  3. Step 3: Cross multiply
    9,161.64x = 13,739.15 × 3,897
  4. Step 4: Simplify right side
    9,161.64x = 53,541,448.07
  5. Step 5: Solve for x
    x = 53,541,448.07/9,161.64
  6. Step 6: Final answer
    x = 5,844.09

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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.