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Finding the Fourth Proportional to 9,351, 14,026.50 and 3,510.36

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Solution

The fourth proportional to 9,351, 14,026.50 and 3,510.36 is: 5,265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351 : 14,026.50 = 3,510.36 : x
  2. Step 2: Convert to fraction form
    9,351/14,026.50 = 3,510.36/x
  3. Step 3: Cross multiply
    9,351x = 14,026.50 × 3,510.36
  4. Step 4: Simplify right side
    9,351x = 49,238,064.54
  5. Step 5: Solve for x
    x = 49,238,064.54/9,351
  6. Step 6: Final answer
    x = 5,265.54

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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.