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Finding the Fourth Proportional to 9,605.36, 14,398.15 and 3,680.64

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Solution

The fourth proportional to 9,605.36, 14,398.15 and 3,680.64 is: 5,517.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.36 : 14,398.15 = 3,680.64 : x
  2. Step 2: Convert to fraction form
    9,605.36/14,398.15 = 3,680.64/x
  3. Step 3: Cross multiply
    9,605.36x = 14,398.15 × 3,680.64
  4. Step 4: Simplify right side
    9,605.36x = 52,994,406.82
  5. Step 5: Solve for x
    x = 52,994,406.82/9,605.36
  6. Step 6: Final answer
    x = 5,517.17

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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.