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Finding the Fourth Proportional to 9,447.16, 13,014.52 and 6,609.24

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Solution

The fourth proportional to 9,447.16, 13,014.52 and 6,609.24 is: 9,104.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.16 : 13,014.52 = 6,609.24 : x
  2. Step 2: Convert to fraction form
    9,447.16/13,014.52 = 6,609.24/x
  3. Step 3: Cross multiply
    9,447.16x = 13,014.52 × 6,609.24
  4. Step 4: Simplify right side
    9,447.16x = 86,016,086.16
  5. Step 5: Solve for x
    x = 86,016,086.16/9,447.16
  6. Step 6: Final answer
    x = 9,104.97

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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.