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Finding the Fourth Proportional to 9,146.80, 13,719.12 and 2,906.80

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Solution

The fourth proportional to 9,146.80, 13,719.12 and 2,906.80 is: 4,359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.80 : 13,719.12 = 2,906.80 : x
  2. Step 2: Convert to fraction form
    9,146.80/13,719.12 = 2,906.80/x
  3. Step 3: Cross multiply
    9,146.80x = 13,719.12 × 2,906.80
  4. Step 4: Simplify right side
    9,146.80x = 39,878,738.02
  5. Step 5: Solve for x
    x = 39,878,738.02/9,146.80
  6. Step 6: Final answer
    x = 4,359.86

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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.