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Finding the Fourth Proportional to 9,293.90, 12,822.46 and 5,938.68

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Solution

The fourth proportional to 9,293.90, 12,822.46 and 5,938.68 is: 8,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.90 : 12,822.46 = 5,938.68 : x
  2. Step 2: Convert to fraction form
    9,293.90/12,822.46 = 5,938.68/x
  3. Step 3: Cross multiply
    9,293.90x = 12,822.46 × 5,938.68
  4. Step 4: Simplify right side
    9,293.90x = 76,148,471.91
  5. Step 5: Solve for x
    x = 76,148,471.91/9,293.90
  6. Step 6: Final answer
    x = 8,193.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.