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Finding the Fourth Proportional to 9,712.29, 13,399.05 and 5,621.40

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Solution

The fourth proportional to 9,712.29, 13,399.05 and 5,621.40 is: 7,755.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.29 : 13,399.05 = 5,621.40 : x
  2. Step 2: Convert to fraction form
    9,712.29/13,399.05 = 5,621.40/x
  3. Step 3: Cross multiply
    9,712.29x = 13,399.05 × 5,621.40
  4. Step 4: Simplify right side
    9,712.29x = 75,321,419.67
  5. Step 5: Solve for x
    x = 75,321,419.67/9,712.29
  6. Step 6: Final answer
    x = 7,755.27

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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.