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Finding the Fourth Proportional to 6,194.16, 8,545.14 and 3,676.37

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Solution

The fourth proportional to 6,194.16, 8,545.14 and 3,676.37 is: 5,071.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.16 : 8,545.14 = 3,676.37 : x
  2. Step 2: Convert to fraction form
    6,194.16/8,545.14 = 3,676.37/x
  3. Step 3: Cross multiply
    6,194.16x = 8,545.14 × 3,676.37
  4. Step 4: Simplify right side
    6,194.16x = 31,415,053.62
  5. Step 5: Solve for x
    x = 31,415,053.62/6,194.16
  6. Step 6: Final answer
    x = 5,071.72

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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.