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Finding the Fourth Proportional to 6,228.88, 9,329.34 and 4,838

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Solution

The fourth proportional to 6,228.88, 9,329.34 and 4,838 is: 7,246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.88 : 9,329.34 = 4,838 : x
  2. Step 2: Convert to fraction form
    6,228.88/9,329.34 = 4,838/x
  3. Step 3: Cross multiply
    6,228.88x = 9,329.34 × 4,838
  4. Step 4: Simplify right side
    6,228.88x = 45,135,346.92
  5. Step 5: Solve for x
    x = 45,135,346.92/6,228.88
  6. Step 6: Final answer
    x = 7,246.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.