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Finding the Fourth Proportional to 9,797.25, 13,520.22 and 5,605.59

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Solution

The fourth proportional to 9,797.25, 13,520.22 and 5,605.59 is: 7,735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.25 : 13,520.22 = 5,605.59 : x
  2. Step 2: Convert to fraction form
    9,797.25/13,520.22 = 5,605.59/x
  3. Step 3: Cross multiply
    9,797.25x = 13,520.22 × 5,605.59
  4. Step 4: Simplify right side
    9,797.25x = 75,788,810.03
  5. Step 5: Solve for x
    x = 75,788,810.03/9,797.25
  6. Step 6: Final answer
    x = 7,735.72

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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.