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Finding the Fourth Proportional to 9,796.42, 14,684.96 and 6,276.44

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Solution

The fourth proportional to 9,796.42, 14,684.96 and 6,276.44 is: 9,408.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.42 : 14,684.96 = 6,276.44 : x
  2. Step 2: Convert to fraction form
    9,796.42/14,684.96 = 6,276.44/x
  3. Step 3: Cross multiply
    9,796.42x = 14,684.96 × 6,276.44
  4. Step 4: Simplify right side
    9,796.42x = 92,169,270.34
  5. Step 5: Solve for x
    x = 92,169,270.34/9,796.42
  6. Step 6: Final answer
    x = 9,408.46

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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.