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Finding the Fourth Proportional to 9,265.65, 13,900.64 and 2,691.96

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Solution

The fourth proportional to 9,265.65, 13,900.64 and 2,691.96 is: 4,038.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.65 : 13,900.64 = 2,691.96 : x
  2. Step 2: Convert to fraction form
    9,265.65/13,900.64 = 2,691.96/x
  3. Step 3: Cross multiply
    9,265.65x = 13,900.64 × 2,691.96
  4. Step 4: Simplify right side
    9,265.65x = 37,419,953.39
  5. Step 5: Solve for x
    x = 37,419,953.39/9,265.65
  6. Step 6: Final answer
    x = 4,038.57

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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.