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Finding the Fourth Proportional to 7,096.10, 9,793.77 and 4,302.98

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Solution

The fourth proportional to 7,096.10, 9,793.77 and 4,302.98 is: 5,938.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.10 : 9,793.77 = 4,302.98 : x
  2. Step 2: Convert to fraction form
    7,096.10/9,793.77 = 4,302.98/x
  3. Step 3: Cross multiply
    7,096.10x = 9,793.77 × 4,302.98
  4. Step 4: Simplify right side
    7,096.10x = 42,142,396.43
  5. Step 5: Solve for x
    x = 42,142,396.43/7,096.10
  6. Step 6: Final answer
    x = 5,938.81

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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.