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Finding the Fourth Proportional to 7,096.06, 9,792.76 and 4,262.48

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Solution

The fourth proportional to 7,096.06, 9,792.76 and 4,262.48 is: 5,882.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.06 : 9,792.76 = 4,262.48 : x
  2. Step 2: Convert to fraction form
    7,096.06/9,792.76 = 4,262.48/x
  3. Step 3: Cross multiply
    7,096.06x = 9,792.76 × 4,262.48
  4. Step 4: Simplify right side
    7,096.06x = 41,741,443.64
  5. Step 5: Solve for x
    x = 41,741,443.64/7,096.06
  6. Step 6: Final answer
    x = 5,882.34

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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.