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Finding the Fourth Proportional to 6,407.10, 9,618.45 and 4,067.10

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Solution

The fourth proportional to 6,407.10, 9,618.45 and 4,067.10 is: 6,105.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.10 : 9,618.45 = 4,067.10 : x
  2. Step 2: Convert to fraction form
    6,407.10/9,618.45 = 4,067.10/x
  3. Step 3: Cross multiply
    6,407.10x = 9,618.45 × 4,067.10
  4. Step 4: Simplify right side
    6,407.10x = 39,119,198.00
  5. Step 5: Solve for x
    x = 39,119,198.00/6,407.10
  6. Step 6: Final answer
    x = 6,105.60

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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.