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Finding the Fourth Proportional to 6,837.90, 9,436.42 and 4,006.94

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Solution

The fourth proportional to 6,837.90, 9,436.42 and 4,006.94 is: 5,529.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.90 : 9,436.42 = 4,006.94 : x
  2. Step 2: Convert to fraction form
    6,837.90/9,436.42 = 4,006.94/x
  3. Step 3: Cross multiply
    6,837.90x = 9,436.42 × 4,006.94
  4. Step 4: Simplify right side
    6,837.90x = 37,811,168.75
  5. Step 5: Solve for x
    x = 37,811,168.75/6,837.90
  6. Step 6: Final answer
    x = 5,529.65

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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.