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Finding the Fourth Proportional to 9,992.35, 13,788.80 and 5,742.39

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Solution

The fourth proportional to 9,992.35, 13,788.80 and 5,742.39 is: 7,924.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.35 : 13,788.80 = 5,742.39 : x
  2. Step 2: Convert to fraction form
    9,992.35/13,788.80 = 5,742.39/x
  3. Step 3: Cross multiply
    9,992.35x = 13,788.80 × 5,742.39
  4. Step 4: Simplify right side
    9,992.35x = 79,180,711.76
  5. Step 5: Solve for x
    x = 79,180,711.76/9,992.35
  6. Step 6: Final answer
    x = 7,924.14

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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.