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Finding the Fourth Proportional to 6,957.14, 10,428.42 and 3,256.25

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Solution

The fourth proportional to 6,957.14, 10,428.42 and 3,256.25 is: 4,880.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.14 : 10,428.42 = 3,256.25 : x
  2. Step 2: Convert to fraction form
    6,957.14/10,428.42 = 3,256.25/x
  3. Step 3: Cross multiply
    6,957.14x = 10,428.42 × 3,256.25
  4. Step 4: Simplify right side
    6,957.14x = 33,957,542.63
  5. Step 5: Solve for x
    x = 33,957,542.63/6,957.14
  6. Step 6: Final answer
    x = 4,880.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.