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Finding the Fourth Proportional to 9,712.62, 13,404.44 and 5,938.00

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Solution

The fourth proportional to 9,712.62, 13,404.44 and 5,938.00 is: 8,195.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.62 : 13,404.44 = 5,938.00 : x
  2. Step 2: Convert to fraction form
    9,712.62/13,404.44 = 5,938.00/x
  3. Step 3: Cross multiply
    9,712.62x = 13,404.44 × 5,938.00
  4. Step 4: Simplify right side
    9,712.62x = 79,595,546.05
  5. Step 5: Solve for x
    x = 79,595,546.05/9,712.62
  6. Step 6: Final answer
    x = 8,195.06

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