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Finding the Fourth Proportional to 7,222.46, 9,966.92 and 4,572.05

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Solution

The fourth proportional to 7,222.46, 9,966.92 and 4,572.05 is: 6,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.46 : 9,966.92 = 4,572.05 : x
  2. Step 2: Convert to fraction form
    7,222.46/9,966.92 = 4,572.05/x
  3. Step 3: Cross multiply
    7,222.46x = 9,966.92 × 4,572.05
  4. Step 4: Simplify right side
    7,222.46x = 45,569,183.89
  5. Step 5: Solve for x
    x = 45,569,183.89/7,222.46
  6. Step 6: Final answer
    x = 6,309.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.