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Finding the Fourth Proportional to 9,389.84, 14,082.53 and 2,814.26

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Solution

The fourth proportional to 9,389.84, 14,082.53 and 2,814.26 is: 4,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.84 : 14,082.53 = 2,814.26 : x
  2. Step 2: Convert to fraction form
    9,389.84/14,082.53 = 2,814.26/x
  3. Step 3: Cross multiply
    9,389.84x = 14,082.53 × 2,814.26
  4. Step 4: Simplify right side
    9,389.84x = 39,631,816.39
  5. Step 5: Solve for x
    x = 39,631,816.39/9,389.84
  6. Step 6: Final answer
    x = 4,220.71

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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.