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Finding the Fourth Proportional to 7,056.64, 9,737.71 and 3,912.63

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Solution

The fourth proportional to 7,056.64, 9,737.71 and 3,912.63 is: 5,399.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.64 : 9,737.71 = 3,912.63 : x
  2. Step 2: Convert to fraction form
    7,056.64/9,737.71 = 3,912.63/x
  3. Step 3: Cross multiply
    7,056.64x = 9,737.71 × 3,912.63
  4. Step 4: Simplify right side
    7,056.64x = 38,100,056.28
  5. Step 5: Solve for x
    x = 38,100,056.28/7,056.64
  6. Step 6: Final answer
    x = 5,399.18

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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.