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Finding the Fourth Proportional to 9,197.42, 13,796.12 and 6,429.44

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Solution

The fourth proportional to 9,197.42, 13,796.12 and 6,429.44 is: 9,644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.42 : 13,796.12 = 6,429.44 : x
  2. Step 2: Convert to fraction form
    9,197.42/13,796.12 = 6,429.44/x
  3. Step 3: Cross multiply
    9,197.42x = 13,796.12 × 6,429.44
  4. Step 4: Simplify right side
    9,197.42x = 88,701,376.34
  5. Step 5: Solve for x
    x = 88,701,376.34/9,197.42
  6. Step 6: Final answer
    x = 9,644.16

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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.