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Finding the Fourth Proportional to 6,282.77, 9,415.24 and 4,626.32

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Solution

The fourth proportional to 6,282.77, 9,415.24 and 4,626.32 is: 6,932.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.77 : 9,415.24 = 4,626.32 : x
  2. Step 2: Convert to fraction form
    6,282.77/9,415.24 = 4,626.32/x
  3. Step 3: Cross multiply
    6,282.77x = 9,415.24 × 4,626.32
  4. Step 4: Simplify right side
    6,282.77x = 43,557,854.47
  5. Step 5: Solve for x
    x = 43,557,854.47/6,282.77
  6. Step 6: Final answer
    x = 6,932.91

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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.