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Finding the Fourth Proportional to 6,664.62, 9,197.91 and 4,012.14

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Solution

The fourth proportional to 6,664.62, 9,197.91 and 4,012.14 is: 5,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.62 : 9,197.91 = 4,012.14 : x
  2. Step 2: Convert to fraction form
    6,664.62/9,197.91 = 4,012.14/x
  3. Step 3: Cross multiply
    6,664.62x = 9,197.91 × 4,012.14
  4. Step 4: Simplify right side
    6,664.62x = 36,903,302.63
  5. Step 5: Solve for x
    x = 36,903,302.63/6,664.62
  6. Step 6: Final answer
    x = 5,537.20

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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.