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Finding the Fourth Proportional to 9,357.24, 14,044.02 and 3,813.60

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Solution

The fourth proportional to 9,357.24, 14,044.02 and 3,813.60 is: 5,723.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.24 : 14,044.02 = 3,813.60 : x
  2. Step 2: Convert to fraction form
    9,357.24/14,044.02 = 3,813.60/x
  3. Step 3: Cross multiply
    9,357.24x = 14,044.02 × 3,813.60
  4. Step 4: Simplify right side
    9,357.24x = 53,558,274.67
  5. Step 5: Solve for x
    x = 53,558,274.67/9,357.24
  6. Step 6: Final answer
    x = 5,723.73

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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.