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Finding the Fourth Proportional to 7,101.29, 9,800.21 and 3,914.57

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Solution

The fourth proportional to 7,101.29, 9,800.21 and 3,914.57 is: 5,402.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.29 : 9,800.21 = 3,914.57 : x
  2. Step 2: Convert to fraction form
    7,101.29/9,800.21 = 3,914.57/x
  3. Step 3: Cross multiply
    7,101.29x = 9,800.21 × 3,914.57
  4. Step 4: Simplify right side
    7,101.29x = 38,363,568.85
  5. Step 5: Solve for x
    x = 38,363,568.85/7,101.29
  6. Step 6: Final answer
    x = 5,402.34

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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.