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Finding the Fourth Proportional to 6,199.45, 9,287.44 and 4,805.96

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Solution

The fourth proportional to 6,199.45, 9,287.44 and 4,805.96 is: 7,199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.45 : 9,287.44 = 4,805.96 : x
  2. Step 2: Convert to fraction form
    6,199.45/9,287.44 = 4,805.96/x
  3. Step 3: Cross multiply
    6,199.45x = 9,287.44 × 4,805.96
  4. Step 4: Simplify right side
    6,199.45x = 44,635,018.71
  5. Step 5: Solve for x
    x = 44,635,018.71/6,199.45
  6. Step 6: Final answer
    x = 7,199.84

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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.