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Finding the Fourth Proportional to 6,867.67, 9,477.39 and 3,723.86

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Solution

The fourth proportional to 6,867.67, 9,477.39 and 3,723.86 is: 5,138.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867.67 : 9,477.39 = 3,723.86 : x
  2. Step 2: Convert to fraction form
    6,867.67/9,477.39 = 3,723.86/x
  3. Step 3: Cross multiply
    6,867.67x = 9,477.39 × 3,723.86
  4. Step 4: Simplify right side
    6,867.67x = 35,292,415.74
  5. Step 5: Solve for x
    x = 35,292,415.74/6,867.67
  6. Step 6: Final answer
    x = 5,138.92

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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.