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Finding the Fourth Proportional to 9,796.96, 13,522.88 and 6,269.68

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Solution

The fourth proportional to 9,796.96, 13,522.88 and 6,269.68 is: 8,654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.96 : 13,522.88 = 6,269.68 : x
  2. Step 2: Convert to fraction form
    9,796.96/13,522.88 = 6,269.68/x
  3. Step 3: Cross multiply
    9,796.96x = 13,522.88 × 6,269.68
  4. Step 4: Simplify right side
    9,796.96x = 84,784,130.28
  5. Step 5: Solve for x
    x = 84,784,130.28/9,796.96
  6. Step 6: Final answer
    x = 8,654.13

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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.