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Finding the Fourth Proportional to 9,619.50, 14,429.24 and 3,046.20

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Solution

The fourth proportional to 9,619.50, 14,429.24 and 3,046.20 is: 4,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.50 : 14,429.24 = 3,046.20 : x
  2. Step 2: Convert to fraction form
    9,619.50/14,429.24 = 3,046.20/x
  3. Step 3: Cross multiply
    9,619.50x = 14,429.24 × 3,046.20
  4. Step 4: Simplify right side
    9,619.50x = 43,954,335.66
  5. Step 5: Solve for x
    x = 43,954,335.66/9,619.50
  6. Step 6: Final answer
    x = 4,569.30

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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.