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Finding the Fourth Proportional to 6,193.02, 9,284.06 and 4,738.66

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Solution

The fourth proportional to 6,193.02, 9,284.06 and 4,738.66 is: 7,103.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.02 : 9,284.06 = 4,738.66 : x
  2. Step 2: Convert to fraction form
    6,193.02/9,284.06 = 4,738.66/x
  3. Step 3: Cross multiply
    6,193.02x = 9,284.06 × 4,738.66
  4. Step 4: Simplify right side
    6,193.02x = 43,994,015.12
  5. Step 5: Solve for x
    x = 43,994,015.12/6,193.02
  6. Step 6: Final answer
    x = 7,103.81

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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.