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Finding the Fourth Proportional to 7,096.14, 9,792.45 and 3,952.17

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Solution

The fourth proportional to 7,096.14, 9,792.45 and 3,952.17 is: 5,453.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.14 : 9,792.45 = 3,952.17 : x
  2. Step 2: Convert to fraction form
    7,096.14/9,792.45 = 3,952.17/x
  3. Step 3: Cross multiply
    7,096.14x = 9,792.45 × 3,952.17
  4. Step 4: Simplify right side
    7,096.14x = 38,701,427.12
  5. Step 5: Solve for x
    x = 38,701,427.12/7,096.14
  6. Step 6: Final answer
    x = 5,453.87

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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.