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Finding the Fourth Proportional to 7,057.96, 9,740.04 and 3,914.14

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Solution

The fourth proportional to 7,057.96, 9,740.04 and 3,914.14 is: 5,401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.96 : 9,740.04 = 3,914.14 : x
  2. Step 2: Convert to fraction form
    7,057.96/9,740.04 = 3,914.14/x
  3. Step 3: Cross multiply
    7,057.96x = 9,740.04 × 3,914.14
  4. Step 4: Simplify right side
    7,057.96x = 38,123,880.17
  5. Step 5: Solve for x
    x = 38,123,880.17/7,057.96
  6. Step 6: Final answer
    x = 5,401.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.