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Finding the Fourth Proportional to 9,437.94, 14,144.68 and 3,885

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Solution

The fourth proportional to 9,437.94, 14,144.68 and 3,885 is: 5,822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.94 : 14,144.68 = 3,885 : x
  2. Step 2: Convert to fraction form
    9,437.94/14,144.68 = 3,885/x
  3. Step 3: Cross multiply
    9,437.94x = 14,144.68 × 3,885
  4. Step 4: Simplify right side
    9,437.94x = 54,952,081.80
  5. Step 5: Solve for x
    x = 54,952,081.80/9,437.94
  6. Step 6: Final answer
    x = 5,822.47

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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.