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Finding the Fourth Proportional to 6,415.84, 8,854.91 and 3,727.14

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Solution

The fourth proportional to 6,415.84, 8,854.91 and 3,727.14 is: 5,144.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.84 : 8,854.91 = 3,727.14 : x
  2. Step 2: Convert to fraction form
    6,415.84/8,854.91 = 3,727.14/x
  3. Step 3: Cross multiply
    6,415.84x = 8,854.91 × 3,727.14
  4. Step 4: Simplify right side
    6,415.84x = 33,003,489.26
  5. Step 5: Solve for x
    x = 33,003,489.26/6,415.84
  6. Step 6: Final answer
    x = 5,144.06

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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.