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Finding the Fourth Proportional to 7,065.76, 9,744.02 and 5,149.84

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Solution

The fourth proportional to 7,065.76, 9,744.02 and 5,149.84 is: 7,101.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.76 : 9,744.02 = 5,149.84 : x
  2. Step 2: Convert to fraction form
    7,065.76/9,744.02 = 5,149.84/x
  3. Step 3: Cross multiply
    7,065.76x = 9,744.02 × 5,149.84
  4. Step 4: Simplify right side
    7,065.76x = 50,180,143.96
  5. Step 5: Solve for x
    x = 50,180,143.96/7,065.76
  6. Step 6: Final answer
    x = 7,101.87

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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.