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Finding the Fourth Proportional to 9,584.87, 13,226.30 and 5,335.61

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Solution

The fourth proportional to 9,584.87, 13,226.30 and 5,335.61 is: 7,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.87 : 13,226.30 = 5,335.61 : x
  2. Step 2: Convert to fraction form
    9,584.87/13,226.30 = 5,335.61/x
  3. Step 3: Cross multiply
    9,584.87x = 13,226.30 × 5,335.61
  4. Step 4: Simplify right side
    9,584.87x = 70,570,378.54
  5. Step 5: Solve for x
    x = 70,570,378.54/9,584.87
  6. Step 6: Final answer
    x = 7,362.68

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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.