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Finding the Fourth Proportional to 7,079.84, 9,770.39 and 4,096.61

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Solution

The fourth proportional to 7,079.84, 9,770.39 and 4,096.61 is: 5,653.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,079.84 : 9,770.39 = 4,096.61 : x
  2. Step 2: Convert to fraction form
    7,079.84/9,770.39 = 4,096.61/x
  3. Step 3: Cross multiply
    7,079.84x = 9,770.39 × 4,096.61
  4. Step 4: Simplify right side
    7,079.84x = 40,025,408.04
  5. Step 5: Solve for x
    x = 40,025,408.04/7,079.84
  6. Step 6: Final answer
    x = 5,653.44

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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.