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Finding the Fourth Proportional to 6,620.61, 9,137.70 and 4,105.16

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Solution

The fourth proportional to 6,620.61, 9,137.70 and 4,105.16 is: 5,665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,620.61 : 9,137.70 = 4,105.16 : x
  2. Step 2: Convert to fraction form
    6,620.61/9,137.70 = 4,105.16/x
  3. Step 3: Cross multiply
    6,620.61x = 9,137.70 × 4,105.16
  4. Step 4: Simplify right side
    6,620.61x = 37,511,674.84
  5. Step 5: Solve for x
    x = 37,511,674.84/6,620.61
  6. Step 6: Final answer
    x = 5,665.89

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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.