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Finding the Fourth Proportional to 9,992.63, 13,788.11 and 5,742.70

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Solution

The fourth proportional to 9,992.63, 13,788.11 and 5,742.70 is: 7,923.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.63 : 13,788.11 = 5,742.70 : x
  2. Step 2: Convert to fraction form
    9,992.63/13,788.11 = 5,742.70/x
  3. Step 3: Cross multiply
    9,992.63x = 13,788.11 × 5,742.70
  4. Step 4: Simplify right side
    9,992.63x = 79,180,916.11
  5. Step 5: Solve for x
    x = 79,180,916.11/9,992.63
  6. Step 6: Final answer
    x = 7,923.93

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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.