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Finding the Fourth Proportional to 9,958.23, 13,742.27 and 5,652.14

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Solution

The fourth proportional to 9,958.23, 13,742.27 and 5,652.14 is: 7,799.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958.23 : 13,742.27 = 5,652.14 : x
  2. Step 2: Convert to fraction form
    9,958.23/13,742.27 = 5,652.14/x
  3. Step 3: Cross multiply
    9,958.23x = 13,742.27 × 5,652.14
  4. Step 4: Simplify right side
    9,958.23x = 77,673,233.96
  5. Step 5: Solve for x
    x = 77,673,233.96/9,958.23
  6. Step 6: Final answer
    x = 7,799.90

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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.