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Finding the Fourth Proportional to 9,497.27, 13,101.88 and 5,517.64

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Solution

The fourth proportional to 9,497.27, 13,101.88 and 5,517.64 is: 7,611.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.27 : 13,101.88 = 5,517.64 : x
  2. Step 2: Convert to fraction form
    9,497.27/13,101.88 = 5,517.64/x
  3. Step 3: Cross multiply
    9,497.27x = 13,101.88 × 5,517.64
  4. Step 4: Simplify right side
    9,497.27x = 72,291,457.16
  5. Step 5: Solve for x
    x = 72,291,457.16/9,497.27
  6. Step 6: Final answer
    x = 7,611.81

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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.