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Finding the Fourth Proportional to 9,480.60, 14,208.90 and 3,629.40

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Solution

The fourth proportional to 9,480.60, 14,208.90 and 3,629.40 is: 5,439.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.60 : 14,208.90 = 3,629.40 : x
  2. Step 2: Convert to fraction form
    9,480.60/14,208.90 = 3,629.40/x
  3. Step 3: Cross multiply
    9,480.60x = 14,208.90 × 3,629.40
  4. Step 4: Simplify right side
    9,480.60x = 51,569,781.66
  5. Step 5: Solve for x
    x = 51,569,781.66/9,480.60
  6. Step 6: Final answer
    x = 5,439.51

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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.