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Finding the Fourth Proportional to 7,101.66, 9,800.72 and 3,914.96

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Solution

The fourth proportional to 7,101.66, 9,800.72 and 3,914.96 is: 5,402.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.66 : 9,800.72 = 3,914.96 : x
  2. Step 2: Convert to fraction form
    7,101.66/9,800.72 = 3,914.96/x
  3. Step 3: Cross multiply
    7,101.66x = 9,800.72 × 3,914.96
  4. Step 4: Simplify right side
    7,101.66x = 38,369,387.55
  5. Step 5: Solve for x
    x = 38,369,387.55/7,101.66
  6. Step 6: Final answer
    x = 5,402.88

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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.