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Finding the Fourth Proportional to 9,859.93, 13,607.49 and 5,611.17

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Solution

The fourth proportional to 9,859.93, 13,607.49 and 5,611.17 is: 7,743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.93 : 13,607.49 = 5,611.17 : x
  2. Step 2: Convert to fraction form
    9,859.93/13,607.49 = 5,611.17/x
  3. Step 3: Cross multiply
    9,859.93x = 13,607.49 × 5,611.17
  4. Step 4: Simplify right side
    9,859.93x = 76,354,011.73
  5. Step 5: Solve for x
    x = 76,354,011.73/9,859.93
  6. Step 6: Final answer
    x = 7,743.87

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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.