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Finding the Fourth Proportional to 7,096.02, 9,792.38 and 3,909.61

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Solution

The fourth proportional to 7,096.02, 9,792.38 and 3,909.61 is: 5,395.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.02 : 9,792.38 = 3,909.61 : x
  2. Step 2: Convert to fraction form
    7,096.02/9,792.38 = 3,909.61/x
  3. Step 3: Cross multiply
    7,096.02x = 9,792.38 × 3,909.61
  4. Step 4: Simplify right side
    7,096.02x = 38,284,408.79
  5. Step 5: Solve for x
    x = 38,284,408.79/7,096.02
  6. Step 6: Final answer
    x = 5,395.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.