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Finding the Fourth Proportional to 6,390.32, 9,589.46 and 2,441.93

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Solution

The fourth proportional to 6,390.32, 9,589.46 and 2,441.93 is: 3,664.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.32 : 9,589.46 = 2,441.93 : x
  2. Step 2: Convert to fraction form
    6,390.32/9,589.46 = 2,441.93/x
  3. Step 3: Cross multiply
    6,390.32x = 9,589.46 × 2,441.93
  4. Step 4: Simplify right side
    6,390.32x = 23,416,729.90
  5. Step 5: Solve for x
    x = 23,416,729.90/6,390.32
  6. Step 6: Final answer
    x = 3,664.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.