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Finding the Fourth Proportional to 9,845.66, 13,584.89 and 5,868.09

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Solution

The fourth proportional to 9,845.66, 13,584.89 and 5,868.09 is: 8,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,845.66 : 13,584.89 = 5,868.09 : x
  2. Step 2: Convert to fraction form
    9,845.66/13,584.89 = 5,868.09/x
  3. Step 3: Cross multiply
    9,845.66x = 13,584.89 × 5,868.09
  4. Step 4: Simplify right side
    9,845.66x = 79,717,327.82
  5. Step 5: Solve for x
    x = 79,717,327.82/9,845.66
  6. Step 6: Final answer
    x = 8,096.70

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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.