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Finding the Fourth Proportional to 6,618.18, 9,898.10 and 3,837.65

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Solution

The fourth proportional to 6,618.18, 9,898.10 and 3,837.65 is: 5,739.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,618.18 : 9,898.10 = 3,837.65 : x
  2. Step 2: Convert to fraction form
    6,618.18/9,898.10 = 3,837.65/x
  3. Step 3: Cross multiply
    6,618.18x = 9,898.10 × 3,837.65
  4. Step 4: Simplify right side
    6,618.18x = 37,985,443.47
  5. Step 5: Solve for x
    x = 37,985,443.47/6,618.18
  6. Step 6: Final answer
    x = 5,739.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.