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Finding the Fourth Proportional to 7,241.20, 9,992.32 and 4,256.84

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Solution

The fourth proportional to 7,241.20, 9,992.32 and 4,256.84 is: 5,874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.20 : 9,992.32 = 4,256.84 : x
  2. Step 2: Convert to fraction form
    7,241.20/9,992.32 = 4,256.84/x
  3. Step 3: Cross multiply
    7,241.20x = 9,992.32 × 4,256.84
  4. Step 4: Simplify right side
    7,241.20x = 42,535,707.47
  5. Step 5: Solve for x
    x = 42,535,707.47/7,241.20
  6. Step 6: Final answer
    x = 5,874.12

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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.