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Finding the Fourth Proportional to 6,201.73, 9,302.64 and 2,306.13

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Solution

The fourth proportional to 6,201.73, 9,302.64 and 2,306.13 is: 3,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.73 : 9,302.64 = 2,306.13 : x
  2. Step 2: Convert to fraction form
    6,201.73/9,302.64 = 2,306.13/x
  3. Step 3: Cross multiply
    6,201.73x = 9,302.64 × 2,306.13
  4. Step 4: Simplify right side
    6,201.73x = 21,453,097.18
  5. Step 5: Solve for x
    x = 21,453,097.18/6,201.73
  6. Step 6: Final answer
    x = 3,459.21

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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.