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Finding the Fourth Proportional to 9,483.73, 14,228.03 and 3,640.80

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Solution

The fourth proportional to 9,483.73, 14,228.03 and 3,640.80 is: 5,462.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.73 : 14,228.03 = 3,640.80 : x
  2. Step 2: Convert to fraction form
    9,483.73/14,228.03 = 3,640.80/x
  3. Step 3: Cross multiply
    9,483.73x = 14,228.03 × 3,640.80
  4. Step 4: Simplify right side
    9,483.73x = 51,801,411.62
  5. Step 5: Solve for x
    x = 51,801,411.62/9,483.73
  6. Step 6: Final answer
    x = 5,462.13

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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.