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Finding the Fourth Proportional to 9,605.97, 13,257.26 and 5,630.42

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Solution

The fourth proportional to 9,605.97, 13,257.26 and 5,630.42 is: 7,770.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.97 : 13,257.26 = 5,630.42 : x
  2. Step 2: Convert to fraction form
    9,605.97/13,257.26 = 5,630.42/x
  3. Step 3: Cross multiply
    9,605.97x = 13,257.26 × 5,630.42
  4. Step 4: Simplify right side
    9,605.97x = 74,643,847.41
  5. Step 5: Solve for x
    x = 74,643,847.41/9,605.97
  6. Step 6: Final answer
    x = 7,770.57

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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.