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Finding the Fourth Proportional to 9,584.60, 13,226.85 and 5,604.94

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Solution

The fourth proportional to 9,584.60, 13,226.85 and 5,604.94 is: 7,734.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.60 : 13,226.85 = 5,604.94 : x
  2. Step 2: Convert to fraction form
    9,584.60/13,226.85 = 5,604.94/x
  3. Step 3: Cross multiply
    9,584.60x = 13,226.85 × 5,604.94
  4. Step 4: Simplify right side
    9,584.60x = 74,135,700.64
  5. Step 5: Solve for x
    x = 74,135,700.64/9,584.60
  6. Step 6: Final answer
    x = 7,734.88

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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.