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Finding the Fourth Proportional to 6,171.08, 9,215.86 and 5,284.28

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Solution

The fourth proportional to 6,171.08, 9,215.86 and 5,284.28 is: 7,891.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.08 : 9,215.86 = 5,284.28 : x
  2. Step 2: Convert to fraction form
    6,171.08/9,215.86 = 5,284.28/x
  3. Step 3: Cross multiply
    6,171.08x = 9,215.86 × 5,284.28
  4. Step 4: Simplify right side
    6,171.08x = 48,699,184.68
  5. Step 5: Solve for x
    x = 48,699,184.68/6,171.08
  6. Step 6: Final answer
    x = 7,891.52

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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.