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Finding the Fourth Proportional to 6,044, 9,067.28 and 1,883.92

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Solution

The fourth proportional to 6,044, 9,067.28 and 1,883.92 is: 2,826.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,044 : 9,067.28 = 1,883.92 : x
  2. Step 2: Convert to fraction form
    6,044/9,067.28 = 1,883.92/x
  3. Step 3: Cross multiply
    6,044x = 9,067.28 × 1,883.92
  4. Step 4: Simplify right side
    6,044x = 17,082,030.14
  5. Step 5: Solve for x
    x = 17,082,030.14/6,044
  6. Step 6: Final answer
    x = 2,826.28

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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.