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Finding the Fourth Proportional to 9,713.29, 13,404.21 and 5,464.03

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Solution

The fourth proportional to 9,713.29, 13,404.21 and 5,464.03 is: 7,540.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.29 : 13,404.21 = 5,464.03 : x
  2. Step 2: Convert to fraction form
    9,713.29/13,404.21 = 5,464.03/x
  3. Step 3: Cross multiply
    9,713.29x = 13,404.21 × 5,464.03
  4. Step 4: Simplify right side
    9,713.29x = 73,241,005.57
  5. Step 5: Solve for x
    x = 73,241,005.57/9,713.29
  6. Step 6: Final answer
    x = 7,540.29

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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.