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Finding the Fourth Proportional to 9,496.72, 13,104.35 and 5,719.83

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Solution

The fourth proportional to 9,496.72, 13,104.35 and 5,719.83 is: 7,892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.72 : 13,104.35 = 5,719.83 : x
  2. Step 2: Convert to fraction form
    9,496.72/13,104.35 = 5,719.83/x
  3. Step 3: Cross multiply
    9,496.72x = 13,104.35 × 5,719.83
  4. Step 4: Simplify right side
    9,496.72x = 74,954,560.14
  5. Step 5: Solve for x
    x = 74,954,560.14/9,496.72
  6. Step 6: Final answer
    x = 7,892.68

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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.