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Finding the Fourth Proportional to 9,357.42, 14,036.24 and 2,431.92

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Solution

The fourth proportional to 9,357.42, 14,036.24 and 2,431.92 is: 3,647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.42 : 14,036.24 = 2,431.92 : x
  2. Step 2: Convert to fraction form
    9,357.42/14,036.24 = 2,431.92/x
  3. Step 3: Cross multiply
    9,357.42x = 14,036.24 × 2,431.92
  4. Step 4: Simplify right side
    9,357.42x = 34,135,057.82
  5. Step 5: Solve for x
    x = 34,135,057.82/9,357.42
  6. Step 6: Final answer
    x = 3,647.91

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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.