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Finding the Fourth Proportional to 9,235.38, 13,849.41 and 5,342.52

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Solution

The fourth proportional to 9,235.38, 13,849.41 and 5,342.52 is: 8,011.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.38 : 13,849.41 = 5,342.52 : x
  2. Step 2: Convert to fraction form
    9,235.38/13,849.41 = 5,342.52/x
  3. Step 3: Cross multiply
    9,235.38x = 13,849.41 × 5,342.52
  4. Step 4: Simplify right side
    9,235.38x = 73,990,749.91
  5. Step 5: Solve for x
    x = 73,990,749.91/9,235.38
  6. Step 6: Final answer
    x = 8,011.66

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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.