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Finding the Fourth Proportional to 7,697.20, 11,493.33 and 6,119.44

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Solution

The fourth proportional to 7,697.20, 11,493.33 and 6,119.44 is: 9,137.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.20 : 11,493.33 = 6,119.44 : x
  2. Step 2: Convert to fraction form
    7,697.20/11,493.33 = 6,119.44/x
  3. Step 3: Cross multiply
    7,697.20x = 11,493.33 × 6,119.44
  4. Step 4: Simplify right side
    7,697.20x = 70,332,743.34
  5. Step 5: Solve for x
    x = 70,332,743.34/7,697.20
  6. Step 6: Final answer
    x = 9,137.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.