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Finding the Fourth Proportional to 9,371.61, 14,057.46 and 2,797.65

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Solution

The fourth proportional to 9,371.61, 14,057.46 and 2,797.65 is: 4,196.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,371.61 : 14,057.46 = 2,797.65 : x
  2. Step 2: Convert to fraction form
    9,371.61/14,057.46 = 2,797.65/x
  3. Step 3: Cross multiply
    9,371.61x = 14,057.46 × 2,797.65
  4. Step 4: Simplify right side
    9,371.61x = 39,327,852.97
  5. Step 5: Solve for x
    x = 39,327,852.97/9,371.61
  6. Step 6: Final answer
    x = 4,196.49

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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.