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Finding the Fourth Proportional to 6,914.38, 9,541.74 and 3,770.50

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Solution

The fourth proportional to 6,914.38, 9,541.74 and 3,770.50 is: 5,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.38 : 9,541.74 = 3,770.50 : x
  2. Step 2: Convert to fraction form
    6,914.38/9,541.74 = 3,770.50/x
  3. Step 3: Cross multiply
    6,914.38x = 9,541.74 × 3,770.50
  4. Step 4: Simplify right side
    6,914.38x = 35,977,130.67
  5. Step 5: Solve for x
    x = 35,977,130.67/6,914.38
  6. Step 6: Final answer
    x = 5,203.23

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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.