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Finding the Fourth Proportional to 6,535.66, 9,804.30 and 2,092.36

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Solution

The fourth proportional to 6,535.66, 9,804.30 and 2,092.36 is: 3,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.66 : 9,804.30 = 2,092.36 : x
  2. Step 2: Convert to fraction form
    6,535.66/9,804.30 = 2,092.36/x
  3. Step 3: Cross multiply
    6,535.66x = 9,804.30 × 2,092.36
  4. Step 4: Simplify right side
    6,535.66x = 20,514,125.15
  5. Step 5: Solve for x
    x = 20,514,125.15/6,535.66
  6. Step 6: Final answer
    x = 3,138.80

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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.