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Finding the Fourth Proportional to 6,667.37, 9,200.59 and 4,149.40

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Solution

The fourth proportional to 6,667.37, 9,200.59 and 4,149.40 is: 5,725.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.37 : 9,200.59 = 4,149.40 : x
  2. Step 2: Convert to fraction form
    6,667.37/9,200.59 = 4,149.40/x
  3. Step 3: Cross multiply
    6,667.37x = 9,200.59 × 4,149.40
  4. Step 4: Simplify right side
    6,667.37x = 38,176,928.15
  5. Step 5: Solve for x
    x = 38,176,928.15/6,667.37
  6. Step 6: Final answer
    x = 5,725.94

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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.