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Finding the Fourth Proportional to 9,149, 13,724.80 and 2,824.41

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Solution

The fourth proportional to 9,149, 13,724.80 and 2,824.41 is: 4,237.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149 : 13,724.80 = 2,824.41 : x
  2. Step 2: Convert to fraction form
    9,149/13,724.80 = 2,824.41/x
  3. Step 3: Cross multiply
    9,149x = 13,724.80 × 2,824.41
  4. Step 4: Simplify right side
    9,149x = 38,764,462.37
  5. Step 5: Solve for x
    x = 38,764,462.37/9,149
  6. Step 6: Final answer
    x = 4,237.02

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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.