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Finding the Fourth Proportional to 6,185.81, 9,278.49 and 1,803.35

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Solution

The fourth proportional to 6,185.81, 9,278.49 and 1,803.35 is: 2,704.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.81 : 9,278.49 = 1,803.35 : x
  2. Step 2: Convert to fraction form
    6,185.81/9,278.49 = 1,803.35/x
  3. Step 3: Cross multiply
    6,185.81x = 9,278.49 × 1,803.35
  4. Step 4: Simplify right side
    6,185.81x = 16,732,364.94
  5. Step 5: Solve for x
    x = 16,732,364.94/6,185.81
  6. Step 6: Final answer
    x = 2,704.96

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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.