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Finding the Fourth Proportional to 6,837.41, 9,423.24 and 5,065.94

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Solution

The fourth proportional to 6,837.41, 9,423.24 and 5,065.94 is: 6,981.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.41 : 9,423.24 = 5,065.94 : x
  2. Step 2: Convert to fraction form
    6,837.41/9,423.24 = 5,065.94/x
  3. Step 3: Cross multiply
    6,837.41x = 9,423.24 × 5,065.94
  4. Step 4: Simplify right side
    6,837.41x = 47,737,573.01
  5. Step 5: Solve for x
    x = 47,737,573.01/6,837.41
  6. Step 6: Final answer
    x = 6,981.82

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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.