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Finding the Fourth Proportional to 6,034.21, 9,049.10 and 2,084.47

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Solution

The fourth proportional to 6,034.21, 9,049.10 and 2,084.47 is: 3,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.21 : 9,049.10 = 2,084.47 : x
  2. Step 2: Convert to fraction form
    6,034.21/9,049.10 = 2,084.47/x
  3. Step 3: Cross multiply
    6,034.21x = 9,049.10 × 2,084.47
  4. Step 4: Simplify right side
    6,034.21x = 18,862,521.81
  5. Step 5: Solve for x
    x = 18,862,521.81/6,034.21
  6. Step 6: Final answer
    x = 3,125.93

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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.