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Finding the Fourth Proportional to 9,348.12, 13,997.34 and 5,645.34

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Solution

The fourth proportional to 9,348.12, 13,997.34 and 5,645.34 is: 8,453.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.12 : 13,997.34 = 5,645.34 : x
  2. Step 2: Convert to fraction form
    9,348.12/13,997.34 = 5,645.34/x
  3. Step 3: Cross multiply
    9,348.12x = 13,997.34 × 5,645.34
  4. Step 4: Simplify right side
    9,348.12x = 79,019,743.40
  5. Step 5: Solve for x
    x = 79,019,743.40/9,348.12
  6. Step 6: Final answer
    x = 8,453.01

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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.