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Finding the Fourth Proportional to 9,675.25, 13,351.99 and 5,641.97

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Solution

The fourth proportional to 9,675.25, 13,351.99 and 5,641.97 is: 7,786.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.25 : 13,351.99 = 5,641.97 : x
  2. Step 2: Convert to fraction form
    9,675.25/13,351.99 = 5,641.97/x
  3. Step 3: Cross multiply
    9,675.25x = 13,351.99 × 5,641.97
  4. Step 4: Simplify right side
    9,675.25x = 75,331,460.26
  5. Step 5: Solve for x
    x = 75,331,460.26/9,675.25
  6. Step 6: Final answer
    x = 7,786.00

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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.