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Finding the Fourth Proportional to 9,199.50, 13,777.29 and 5,295.71

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Solution

The fourth proportional to 9,199.50, 13,777.29 and 5,295.71 is: 7,930.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.50 : 13,777.29 = 5,295.71 : x
  2. Step 2: Convert to fraction form
    9,199.50/13,777.29 = 5,295.71/x
  3. Step 3: Cross multiply
    9,199.50x = 13,777.29 × 5,295.71
  4. Step 4: Simplify right side
    9,199.50x = 72,960,463.54
  5. Step 5: Solve for x
    x = 72,960,463.54/9,199.50
  6. Step 6: Final answer
    x = 7,930.92

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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.