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Finding the Fourth Proportional to 6,873.71, 9,485.71 and 3,729.90

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Solution

The fourth proportional to 6,873.71, 9,485.71 and 3,729.90 is: 5,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.71 : 9,485.71 = 3,729.90 : x
  2. Step 2: Convert to fraction form
    6,873.71/9,485.71 = 3,729.90/x
  3. Step 3: Cross multiply
    6,873.71x = 9,485.71 × 3,729.90
  4. Step 4: Simplify right side
    6,873.71x = 35,380,740.40
  5. Step 5: Solve for x
    x = 35,380,740.40/6,873.71
  6. Step 6: Final answer
    x = 5,147.25

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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.