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Finding the Fourth Proportional to 9,869.31, 14,797.89 and 3,293.73

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Solution

The fourth proportional to 9,869.31, 14,797.89 and 3,293.73 is: 4,938.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.31 : 14,797.89 = 3,293.73 : x
  2. Step 2: Convert to fraction form
    9,869.31/14,797.89 = 3,293.73/x
  3. Step 3: Cross multiply
    9,869.31x = 14,797.89 × 3,293.73
  4. Step 4: Simplify right side
    9,869.31x = 48,740,254.23
  5. Step 5: Solve for x
    x = 48,740,254.23/9,869.31
  6. Step 6: Final answer
    x = 4,938.57

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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.