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Finding the Fourth Proportional to 6,049.23, 9,074.52 and 5,429.13

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Solution

The fourth proportional to 6,049.23, 9,074.52 and 5,429.13 is: 8,144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.23 : 9,074.52 = 5,429.13 : x
  2. Step 2: Convert to fraction form
    6,049.23/9,074.52 = 5,429.13/x
  3. Step 3: Cross multiply
    6,049.23x = 9,074.52 × 5,429.13
  4. Step 4: Simplify right side
    6,049.23x = 49,266,748.77
  5. Step 5: Solve for x
    x = 49,266,748.77/6,049.23
  6. Step 6: Final answer
    x = 8,144.30

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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.