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Finding the Fourth Proportional to 9,659.76, 13,331.31 and 5,410.75

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Solution

The fourth proportional to 9,659.76, 13,331.31 and 5,410.75 is: 7,467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.76 : 13,331.31 = 5,410.75 : x
  2. Step 2: Convert to fraction form
    9,659.76/13,331.31 = 5,410.75/x
  3. Step 3: Cross multiply
    9,659.76x = 13,331.31 × 5,410.75
  4. Step 4: Simplify right side
    9,659.76x = 72,132,372.18
  5. Step 5: Solve for x
    x = 72,132,372.18/9,659.76
  6. Step 6: Final answer
    x = 7,467.31

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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.