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Finding the Fourth Proportional to 9,584.62, 13,226.88 and 5,278.20

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Solution

The fourth proportional to 9,584.62, 13,226.88 and 5,278.20 is: 7,283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.62 : 13,226.88 = 5,278.20 : x
  2. Step 2: Convert to fraction form
    9,584.62/13,226.88 = 5,278.20/x
  3. Step 3: Cross multiply
    9,584.62x = 13,226.88 × 5,278.20
  4. Step 4: Simplify right side
    9,584.62x = 69,814,118.02
  5. Step 5: Solve for x
    x = 69,814,118.02/9,584.62
  6. Step 6: Final answer
    x = 7,283.97

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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.