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Finding the Fourth Proportional to 9,602.33, 14,370.97 and 5,906.90

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Solution

The fourth proportional to 9,602.33, 14,370.97 and 5,906.90 is: 8,840.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.33 : 14,370.97 = 5,906.90 : x
  2. Step 2: Convert to fraction form
    9,602.33/14,370.97 = 5,906.90/x
  3. Step 3: Cross multiply
    9,602.33x = 14,370.97 × 5,906.90
  4. Step 4: Simplify right side
    9,602.33x = 84,887,882.69
  5. Step 5: Solve for x
    x = 84,887,882.69/9,602.33
  6. Step 6: Final answer
    x = 8,840.34

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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.