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Finding the Fourth Proportional to 9,605.69, 13,255.92 and 5,357.03

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Solution

The fourth proportional to 9,605.69, 13,255.92 and 5,357.03 is: 7,392.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.69 : 13,255.92 = 5,357.03 : x
  2. Step 2: Convert to fraction form
    9,605.69/13,255.92 = 5,357.03/x
  3. Step 3: Cross multiply
    9,605.69x = 13,255.92 × 5,357.03
  4. Step 4: Simplify right side
    9,605.69x = 71,012,274.75
  5. Step 5: Solve for x
    x = 71,012,274.75/9,605.69
  6. Step 6: Final answer
    x = 7,392.73

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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.