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Finding the Fourth Proportional to 9,992.57, 13,788.02 and 5,742.64

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Solution

The fourth proportional to 9,992.57, 13,788.02 and 5,742.64 is: 7,923.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.57 : 13,788.02 = 5,742.64 : x
  2. Step 2: Convert to fraction form
    9,992.57/13,788.02 = 5,742.64/x
  3. Step 3: Cross multiply
    9,992.57x = 13,788.02 × 5,742.64
  4. Step 4: Simplify right side
    9,992.57x = 79,179,566.23
  5. Step 5: Solve for x
    x = 79,179,566.23/9,992.57
  6. Step 6: Final answer
    x = 7,923.84

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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.