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Finding the Fourth Proportional to 9,584.53, 13,226.63 and 5,392.78

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Solution

The fourth proportional to 9,584.53, 13,226.63 and 5,392.78 is: 7,442.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.53 : 13,226.63 = 5,392.78 : x
  2. Step 2: Convert to fraction form
    9,584.53/13,226.63 = 5,392.78/x
  3. Step 3: Cross multiply
    9,584.53x = 13,226.63 × 5,392.78
  4. Step 4: Simplify right side
    9,584.53x = 71,328,305.73
  5. Step 5: Solve for x
    x = 71,328,305.73/9,584.53
  6. Step 6: Final answer
    x = 7,442.02

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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.