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Finding the Fourth Proportional to 6,500.01, 8,968.14 and 3,667.25

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Solution

The fourth proportional to 6,500.01, 8,968.14 and 3,667.25 is: 5,059.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.01 : 8,968.14 = 3,667.25 : x
  2. Step 2: Convert to fraction form
    6,500.01/8,968.14 = 3,667.25/x
  3. Step 3: Cross multiply
    6,500.01x = 8,968.14 × 3,667.25
  4. Step 4: Simplify right side
    6,500.01x = 32,888,366.57
  5. Step 5: Solve for x
    x = 32,888,366.57/6,500.01
  6. Step 6: Final answer
    x = 5,059.74

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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.