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Finding the Fourth Proportional to 6,069.06, 9,106.02 and 3,148.20

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Solution

The fourth proportional to 6,069.06, 9,106.02 and 3,148.20 is: 4,723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.06 : 9,106.02 = 3,148.20 : x
  2. Step 2: Convert to fraction form
    6,069.06/9,106.02 = 3,148.20/x
  3. Step 3: Cross multiply
    6,069.06x = 9,106.02 × 3,148.20
  4. Step 4: Simplify right side
    6,069.06x = 28,667,572.16
  5. Step 5: Solve for x
    x = 28,667,572.16/6,069.06
  6. Step 6: Final answer
    x = 4,723.56

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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.