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Finding the Fourth Proportional to 7,056.66, 9,738.54 and 3,912.85

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Solution

The fourth proportional to 7,056.66, 9,738.54 and 3,912.85 is: 5,399.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.66 : 9,738.54 = 3,912.85 : x
  2. Step 2: Convert to fraction form
    7,056.66/9,738.54 = 3,912.85/x
  3. Step 3: Cross multiply
    7,056.66x = 9,738.54 × 3,912.85
  4. Step 4: Simplify right side
    7,056.66x = 38,105,446.24
  5. Step 5: Solve for x
    x = 38,105,446.24/7,056.66
  6. Step 6: Final answer
    x = 5,399.93

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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.