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Finding the Fourth Proportional to 6,219.48, 9,323.10 and 4,029.24

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Solution

The fourth proportional to 6,219.48, 9,323.10 and 4,029.24 is: 6,039.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,219.48 : 9,323.10 = 4,029.24 : x
  2. Step 2: Convert to fraction form
    6,219.48/9,323.10 = 4,029.24/x
  3. Step 3: Cross multiply
    6,219.48x = 9,323.10 × 4,029.24
  4. Step 4: Simplify right side
    6,219.48x = 37,565,007.44
  5. Step 5: Solve for x
    x = 37,565,007.44/6,219.48
  6. Step 6: Final answer
    x = 6,039.90

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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.