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Finding the Fourth Proportional to 9,592.70, 14,398.34 and 5,902.11

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Solution

The fourth proportional to 9,592.70, 14,398.34 and 5,902.11 is: 8,858.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.70 : 14,398.34 = 5,902.11 : x
  2. Step 2: Convert to fraction form
    9,592.70/14,398.34 = 5,902.11/x
  3. Step 3: Cross multiply
    9,592.70x = 14,398.34 × 5,902.11
  4. Step 4: Simplify right side
    9,592.70x = 84,980,556.99
  5. Step 5: Solve for x
    x = 84,980,556.99/9,592.70
  6. Step 6: Final answer
    x = 8,858.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.