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Finding the Fourth Proportional to 9,797.32, 13,520.29 and 5,605.57

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Solution

The fourth proportional to 9,797.32, 13,520.29 and 5,605.57 is: 7,735.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.32 : 13,520.29 = 5,605.57 : x
  2. Step 2: Convert to fraction form
    9,797.32/13,520.29 = 5,605.57/x
  3. Step 3: Cross multiply
    9,797.32x = 13,520.29 × 5,605.57
  4. Step 4: Simplify right side
    9,797.32x = 75,788,932.02
  5. Step 5: Solve for x
    x = 75,788,932.02/9,797.32
  6. Step 6: Final answer
    x = 7,735.68

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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.