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Finding the Fourth Proportional to 6,044.72, 9,072 and 3,123.92

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Solution

The fourth proportional to 6,044.72, 9,072 and 3,123.92 is: 4,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,044.72 : 9,072 = 3,123.92 : x
  2. Step 2: Convert to fraction form
    6,044.72/9,072 = 3,123.92/x
  3. Step 3: Cross multiply
    6,044.72x = 9,072 × 3,123.92
  4. Step 4: Simplify right side
    6,044.72x = 28,340,202.24
  5. Step 5: Solve for x
    x = 28,340,202.24/6,044.72
  6. Step 6: Final answer
    x = 4,688.42

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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.