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Finding the Fourth Proportional to 6,149.24, 9,223.84 and 1,532.24

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Solution

The fourth proportional to 6,149.24, 9,223.84 and 1,532.24 is: 2,298.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.24 : 9,223.84 = 1,532.24 : x
  2. Step 2: Convert to fraction form
    6,149.24/9,223.84 = 1,532.24/x
  3. Step 3: Cross multiply
    6,149.24x = 9,223.84 × 1,532.24
  4. Step 4: Simplify right side
    6,149.24x = 14,133,136.60
  5. Step 5: Solve for x
    x = 14,133,136.60/6,149.24
  6. Step 6: Final answer
    x = 2,298.36

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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.