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Finding the Fourth Proportional to 6,667.53, 9,202.97 and 4,148.21

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Solution

The fourth proportional to 6,667.53, 9,202.97 and 4,148.21 is: 5,725.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.53 : 9,202.97 = 4,148.21 : x
  2. Step 2: Convert to fraction form
    6,667.53/9,202.97 = 4,148.21/x
  3. Step 3: Cross multiply
    6,667.53x = 9,202.97 × 4,148.21
  4. Step 4: Simplify right side
    6,667.53x = 38,175,852.18
  5. Step 5: Solve for x
    x = 38,175,852.18/6,667.53
  6. Step 6: Final answer
    x = 5,725.64

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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.