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Finding the Fourth Proportional to 6,519.76, 9,792.70 and 3,892.40

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Solution

The fourth proportional to 6,519.76, 9,792.70 and 3,892.40 is: 5,846.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.76 : 9,792.70 = 3,892.40 : x
  2. Step 2: Convert to fraction form
    6,519.76/9,792.70 = 3,892.40/x
  3. Step 3: Cross multiply
    6,519.76x = 9,792.70 × 3,892.40
  4. Step 4: Simplify right side
    6,519.76x = 38,117,105.48
  5. Step 5: Solve for x
    x = 38,117,105.48/6,519.76
  6. Step 6: Final answer
    x = 5,846.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.