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Finding the Fourth Proportional to 6,306.26, 9,459.23 and 2,146.23

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Solution

The fourth proportional to 6,306.26, 9,459.23 and 2,146.23 is: 3,219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.26 : 9,459.23 = 2,146.23 : x
  2. Step 2: Convert to fraction form
    6,306.26/9,459.23 = 2,146.23/x
  3. Step 3: Cross multiply
    6,306.26x = 9,459.23 × 2,146.23
  4. Step 4: Simplify right side
    6,306.26x = 20,301,672.47
  5. Step 5: Solve for x
    x = 20,301,672.47/6,306.26
  6. Step 6: Final answer
    x = 3,219.29

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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.