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Finding the Fourth Proportional to 9,605.14, 13,228.60 and 8,278.36

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Solution

The fourth proportional to 9,605.14, 13,228.60 and 8,278.36 is: 11,401.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.14 : 13,228.60 = 8,278.36 : x
  2. Step 2: Convert to fraction form
    9,605.14/13,228.60 = 8,278.36/x
  3. Step 3: Cross multiply
    9,605.14x = 13,228.60 × 8,278.36
  4. Step 4: Simplify right side
    9,605.14x = 109,511,113.10
  5. Step 5: Solve for x
    x = 109,511,113.10/9,605.14
  6. Step 6: Final answer
    x = 11,401.30

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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.