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Finding the Fourth Proportional to 9,029, 13,545.70 and 2,873

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Solution

The fourth proportional to 9,029, 13,545.70 and 2,873 is: 4,310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029 : 13,545.70 = 2,873 : x
  2. Step 2: Convert to fraction form
    9,029/13,545.70 = 2,873/x
  3. Step 3: Cross multiply
    9,029x = 13,545.70 × 2,873
  4. Step 4: Simplify right side
    9,029x = 38,916,796.10
  5. Step 5: Solve for x
    x = 38,916,796.10/9,029
  6. Step 6: Final answer
    x = 4,310.20

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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.