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Finding the Fourth Proportional to 9,101.19, 13,644.83 and 2,857.59

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Solution

The fourth proportional to 9,101.19, 13,644.83 and 2,857.59 is: 4,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.19 : 13,644.83 = 2,857.59 : x
  2. Step 2: Convert to fraction form
    9,101.19/13,644.83 = 2,857.59/x
  3. Step 3: Cross multiply
    9,101.19x = 13,644.83 × 2,857.59
  4. Step 4: Simplify right side
    9,101.19x = 38,991,261.54
  5. Step 5: Solve for x
    x = 38,991,261.54/9,101.19
  6. Step 6: Final answer
    x = 4,284.20

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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.