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Finding the Fourth Proportional to 6,656.55, 9,190.35 and 4,141.41

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Solution

The fourth proportional to 6,656.55, 9,190.35 and 4,141.41 is: 5,717.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.55 : 9,190.35 = 4,141.41 : x
  2. Step 2: Convert to fraction form
    6,656.55/9,190.35 = 4,141.41/x
  3. Step 3: Cross multiply
    6,656.55x = 9,190.35 × 4,141.41
  4. Step 4: Simplify right side
    6,656.55x = 38,061,007.39
  5. Step 5: Solve for x
    x = 38,061,007.39/6,656.55
  6. Step 6: Final answer
    x = 5,717.83

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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.