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Finding the Fourth Proportional to 7,056.74, 9,738.69 and 3,912.86

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Solution

The fourth proportional to 7,056.74, 9,738.69 and 3,912.86 is: 5,399.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.74 : 9,738.69 = 3,912.86 : x
  2. Step 2: Convert to fraction form
    7,056.74/9,738.69 = 3,912.86/x
  3. Step 3: Cross multiply
    7,056.74x = 9,738.69 × 3,912.86
  4. Step 4: Simplify right side
    7,056.74x = 38,106,130.55
  5. Step 5: Solve for x
    x = 38,106,130.55/7,056.74
  6. Step 6: Final answer
    x = 5,399.96

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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.