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Finding the Fourth Proportional to 9,796.40, 14,675.40 and 9,105.20

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Solution

The fourth proportional to 9,796.40, 14,675.40 and 9,105.20 is: 13,639.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.40 : 14,675.40 = 9,105.20 : x
  2. Step 2: Convert to fraction form
    9,796.40/14,675.40 = 9,105.20/x
  3. Step 3: Cross multiply
    9,796.40x = 14,675.40 × 9,105.20
  4. Step 4: Simplify right side
    9,796.40x = 133,622,452.08
  5. Step 5: Solve for x
    x = 133,622,452.08/9,796.40
  6. Step 6: Final answer
    x = 13,639.95

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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.