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Finding the Fourth Proportional to 6,306.02, 9,461.01 and 2,609.99

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Solution

The fourth proportional to 6,306.02, 9,461.01 and 2,609.99 is: 3,915.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.02 : 9,461.01 = 2,609.99 : x
  2. Step 2: Convert to fraction form
    6,306.02/9,461.01 = 2,609.99/x
  3. Step 3: Cross multiply
    6,306.02x = 9,461.01 × 2,609.99
  4. Step 4: Simplify right side
    6,306.02x = 24,693,141.49
  5. Step 5: Solve for x
    x = 24,693,141.49/6,306.02
  6. Step 6: Final answer
    x = 3,915.80

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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.