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Finding the Fourth Proportional to 6,837.72, 9,436.17 and 4,007.13

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Solution

The fourth proportional to 6,837.72, 9,436.17 and 4,007.13 is: 5,529.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.72 : 9,436.17 = 4,007.13 : x
  2. Step 2: Convert to fraction form
    6,837.72/9,436.17 = 4,007.13/x
  3. Step 3: Cross multiply
    6,837.72x = 9,436.17 × 4,007.13
  4. Step 4: Simplify right side
    6,837.72x = 37,811,959.89
  5. Step 5: Solve for x
    x = 37,811,959.89/6,837.72
  6. Step 6: Final answer
    x = 5,529.91

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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.