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Finding the Fourth Proportional to 9,235.42, 13,853.04 and 2,309.92

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Solution

The fourth proportional to 9,235.42, 13,853.04 and 2,309.92 is: 3,464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.42 : 13,853.04 = 2,309.92 : x
  2. Step 2: Convert to fraction form
    9,235.42/13,853.04 = 2,309.92/x
  3. Step 3: Cross multiply
    9,235.42x = 13,853.04 × 2,309.92
  4. Step 4: Simplify right side
    9,235.42x = 31,999,414.16
  5. Step 5: Solve for x
    x = 31,999,414.16/9,235.42
  6. Step 6: Final answer
    x = 3,464.86

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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.