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Finding the Fourth Proportional to 6,569.36, 9,067.56 and 3,775.76

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Solution

The fourth proportional to 6,569.36, 9,067.56 and 3,775.76 is: 5,211.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.36 : 9,067.56 = 3,775.76 : x
  2. Step 2: Convert to fraction form
    6,569.36/9,067.56 = 3,775.76/x
  3. Step 3: Cross multiply
    6,569.36x = 9,067.56 × 3,775.76
  4. Step 4: Simplify right side
    6,569.36x = 34,236,930.35
  5. Step 5: Solve for x
    x = 34,236,930.35/6,569.36
  6. Step 6: Final answer
    x = 5,211.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.