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Finding the Fourth Proportional to 6,272.33, 8,655.86 and 4,282.83

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Solution

The fourth proportional to 6,272.33, 8,655.86 and 4,282.83 is: 5,910.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.33 : 8,655.86 = 4,282.83 : x
  2. Step 2: Convert to fraction form
    6,272.33/8,655.86 = 4,282.83/x
  3. Step 3: Cross multiply
    6,272.33x = 8,655.86 × 4,282.83
  4. Step 4: Simplify right side
    6,272.33x = 37,071,555.47
  5. Step 5: Solve for x
    x = 37,071,555.47/6,272.33
  6. Step 6: Final answer
    x = 5,910.34

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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.