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Finding the Fourth Proportional to 9,584.52, 13,226.60 and 5,392.84

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Solution

The fourth proportional to 9,584.52, 13,226.60 and 5,392.84 is: 7,442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.52 : 13,226.60 = 5,392.84 : x
  2. Step 2: Convert to fraction form
    9,584.52/13,226.60 = 5,392.84/x
  3. Step 3: Cross multiply
    9,584.52x = 13,226.60 × 5,392.84
  4. Step 4: Simplify right side
    9,584.52x = 71,328,937.54
  5. Step 5: Solve for x
    x = 71,328,937.54/9,584.52
  6. Step 6: Final answer
    x = 7,442.10

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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.