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Finding the Fourth Proportional to 6,229.48, 9,325.14 and 4,033.84

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Solution

The fourth proportional to 6,229.48, 9,325.14 and 4,033.84 is: 6,038.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.48 : 9,325.14 = 4,033.84 : x
  2. Step 2: Convert to fraction form
    6,229.48/9,325.14 = 4,033.84/x
  3. Step 3: Cross multiply
    6,229.48x = 9,325.14 × 4,033.84
  4. Step 4: Simplify right side
    6,229.48x = 37,616,122.74
  5. Step 5: Solve for x
    x = 37,616,122.74/6,229.48
  6. Step 6: Final answer
    x = 6,038.40

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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.