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Finding the Fourth Proportional to 10,367.84, 14,314.11 and 6,837.05

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Solution

The fourth proportional to 10,367.84, 14,314.11 and 6,837.05 is: 9,439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.84 : 14,314.11 = 6,837.05 : x
  2. Step 2: Convert to fraction form
    10,367.84/14,314.11 = 6,837.05/x
  3. Step 3: Cross multiply
    10,367.84x = 14,314.11 × 6,837.05
  4. Step 4: Simplify right side
    10,367.84x = 97,866,285.78
  5. Step 5: Solve for x
    x = 97,866,285.78/10,367.84
  6. Step 6: Final answer
    x = 9,439.41

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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.