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Finding the Fourth Proportional to 6,309.39, 8,706.77 and 3,656.64

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Solution

The fourth proportional to 6,309.39, 8,706.77 and 3,656.64 is: 5,046.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.39 : 8,706.77 = 3,656.64 : x
  2. Step 2: Convert to fraction form
    6,309.39/8,706.77 = 3,656.64/x
  3. Step 3: Cross multiply
    6,309.39x = 8,706.77 × 3,656.64
  4. Step 4: Simplify right side
    6,309.39x = 31,837,523.45
  5. Step 5: Solve for x
    x = 31,837,523.45/6,309.39
  6. Step 6: Final answer
    x = 5,046.05

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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.