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Finding the Fourth Proportional to 6,185.44, 9,278.16 and 1,802.80

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Solution

The fourth proportional to 6,185.44, 9,278.16 and 1,802.80 is: 2,704.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.44 : 9,278.16 = 1,802.80 : x
  2. Step 2: Convert to fraction form
    6,185.44/9,278.16 = 1,802.80/x
  3. Step 3: Cross multiply
    6,185.44x = 9,278.16 × 1,802.80
  4. Step 4: Simplify right side
    6,185.44x = 16,726,666.85
  5. Step 5: Solve for x
    x = 16,726,666.85/6,185.44
  6. Step 6: Final answer
    x = 2,704.20

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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.