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Finding the Fourth Proportional to 6,199.07, 9,286.88 and 4,805.58

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Solution

The fourth proportional to 6,199.07, 9,286.88 and 4,805.58 is: 7,199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.07 : 9,286.88 = 4,805.58 : x
  2. Step 2: Convert to fraction form
    6,199.07/9,286.88 = 4,805.58/x
  3. Step 3: Cross multiply
    6,199.07x = 9,286.88 × 4,805.58
  4. Step 4: Simplify right side
    6,199.07x = 44,628,821.57
  5. Step 5: Solve for x
    x = 44,628,821.57/6,199.07
  6. Step 6: Final answer
    x = 7,199.28

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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.