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Finding the Fourth Proportional to 6,123.06, 9,184.47 and 2,019.06

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Solution

The fourth proportional to 6,123.06, 9,184.47 and 2,019.06 is: 3,028.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.06 : 9,184.47 = 2,019.06 : x
  2. Step 2: Convert to fraction form
    6,123.06/9,184.47 = 2,019.06/x
  3. Step 3: Cross multiply
    6,123.06x = 9,184.47 × 2,019.06
  4. Step 4: Simplify right side
    6,123.06x = 18,543,996.00
  5. Step 5: Solve for x
    x = 18,543,996.00/6,123.06
  6. Step 6: Final answer
    x = 3,028.55

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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.