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Finding the Fourth Proportional to 9,199.97, 13,801.32 and 4,270.11

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Solution

The fourth proportional to 9,199.97, 13,801.32 and 4,270.11 is: 6,405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.97 : 13,801.32 = 4,270.11 : x
  2. Step 2: Convert to fraction form
    9,199.97/13,801.32 = 4,270.11/x
  3. Step 3: Cross multiply
    9,199.97x = 13,801.32 × 4,270.11
  4. Step 4: Simplify right side
    9,199.97x = 58,933,154.55
  5. Step 5: Solve for x
    x = 58,933,154.55/9,199.97
  6. Step 6: Final answer
    x = 6,405.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.