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Finding the Fourth Proportional to 9,028.54, 13,545.12 and 3,480.40

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Solution

The fourth proportional to 9,028.54, 13,545.12 and 3,480.40 is: 5,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,028.54 : 13,545.12 = 3,480.40 : x
  2. Step 2: Convert to fraction form
    9,028.54/13,545.12 = 3,480.40/x
  3. Step 3: Cross multiply
    9,028.54x = 13,545.12 × 3,480.40
  4. Step 4: Simplify right side
    9,028.54x = 47,142,435.65
  5. Step 5: Solve for x
    x = 47,142,435.65/9,028.54
  6. Step 6: Final answer
    x = 5,221.49

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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.