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Finding the Fourth Proportional to 9,659.72, 13,331.26 and 5,410.72

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Solution

The fourth proportional to 9,659.72, 13,331.26 and 5,410.72 is: 7,467.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.72 : 13,331.26 = 5,410.72 : x
  2. Step 2: Convert to fraction form
    9,659.72/13,331.26 = 5,410.72/x
  3. Step 3: Cross multiply
    9,659.72x = 13,331.26 × 5,410.72
  4. Step 4: Simplify right side
    9,659.72x = 72,131,715.11
  5. Step 5: Solve for x
    x = 72,131,715.11/9,659.72
  6. Step 6: Final answer
    x = 7,467.27

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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.