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Finding the Fourth Proportional to 9,933.96, 13,708.74 and 5,742.12

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Solution

The fourth proportional to 9,933.96, 13,708.74 and 5,742.12 is: 7,924.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.96 : 13,708.74 = 5,742.12 : x
  2. Step 2: Convert to fraction form
    9,933.96/13,708.74 = 5,742.12/x
  3. Step 3: Cross multiply
    9,933.96x = 13,708.74 × 5,742.12
  4. Step 4: Simplify right side
    9,933.96x = 78,717,230.13
  5. Step 5: Solve for x
    x = 78,717,230.13/9,933.96
  6. Step 6: Final answer
    x = 7,924.05

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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.