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Finding the Fourth Proportional to 6,232.26, 9,349.02 and 2,533.92

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Solution

The fourth proportional to 6,232.26, 9,349.02 and 2,533.92 is: 3,801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.26 : 9,349.02 = 2,533.92 : x
  2. Step 2: Convert to fraction form
    6,232.26/9,349.02 = 2,533.92/x
  3. Step 3: Cross multiply
    6,232.26x = 9,349.02 × 2,533.92
  4. Step 4: Simplify right side
    6,232.26x = 23,689,668.76
  5. Step 5: Solve for x
    x = 23,689,668.76/6,232.26
  6. Step 6: Final answer
    x = 3,801.14

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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.