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Finding the Fourth Proportional to 9,471.62, 14,205.72 and 2,544.50

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Solution

The fourth proportional to 9,471.62, 14,205.72 and 2,544.50 is: 3,816.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.62 : 14,205.72 = 2,544.50 : x
  2. Step 2: Convert to fraction form
    9,471.62/14,205.72 = 2,544.50/x
  3. Step 3: Cross multiply
    9,471.62x = 14,205.72 × 2,544.50
  4. Step 4: Simplify right side
    9,471.62x = 36,146,454.54
  5. Step 5: Solve for x
    x = 36,146,454.54/9,471.62
  6. Step 6: Final answer
    x = 3,816.29

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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.