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Finding the Fourth Proportional to 6,364.20, 9,507.44 and 5,067.12

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Solution

The fourth proportional to 6,364.20, 9,507.44 and 5,067.12 is: 7,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.20 : 9,507.44 = 5,067.12 : x
  2. Step 2: Convert to fraction form
    6,364.20/9,507.44 = 5,067.12/x
  3. Step 3: Cross multiply
    6,364.20x = 9,507.44 × 5,067.12
  4. Step 4: Simplify right side
    6,364.20x = 48,175,339.37
  5. Step 5: Solve for x
    x = 48,175,339.37/6,364.20
  6. Step 6: Final answer
    x = 7,569.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.