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Finding the Fourth Proportional to 9,342, 14,013 and 3,798.36

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Solution

The fourth proportional to 9,342, 14,013 and 3,798.36 is: 5,697.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342 : 14,013 = 3,798.36 : x
  2. Step 2: Convert to fraction form
    9,342/14,013 = 3,798.36/x
  3. Step 3: Cross multiply
    9,342x = 14,013 × 3,798.36
  4. Step 4: Simplify right side
    9,342x = 53,226,418.68
  5. Step 5: Solve for x
    x = 53,226,418.68/9,342
  6. Step 6: Final answer
    x = 5,697.54

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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.