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Finding the Fourth Proportional to 9,127.50, 13,691.28 and 2,202

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Solution

The fourth proportional to 9,127.50, 13,691.28 and 2,202 is: 3,303.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,127.50 : 13,691.28 = 2,202 : x
  2. Step 2: Convert to fraction form
    9,127.50/13,691.28 = 2,202/x
  3. Step 3: Cross multiply
    9,127.50x = 13,691.28 × 2,202
  4. Step 4: Simplify right side
    9,127.50x = 30,148,198.56
  5. Step 5: Solve for x
    x = 30,148,198.56/9,127.50
  6. Step 6: Final answer
    x = 3,303.01

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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.