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Finding the Fourth Proportional to 6,193.56, 9,289.02 and 2,034.06

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Solution

The fourth proportional to 6,193.56, 9,289.02 and 2,034.06 is: 3,050.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.56 : 9,289.02 = 2,034.06 : x
  2. Step 2: Convert to fraction form
    6,193.56/9,289.02 = 2,034.06/x
  3. Step 3: Cross multiply
    6,193.56x = 9,289.02 × 2,034.06
  4. Step 4: Simplify right side
    6,193.56x = 18,894,424.02
  5. Step 5: Solve for x
    x = 18,894,424.02/6,193.56
  6. Step 6: Final answer
    x = 3,050.66

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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.