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Finding the Fourth Proportional to 6,199.96, 9,292.03 and 2,905.80

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Solution

The fourth proportional to 6,199.96, 9,292.03 and 2,905.80 is: 4,354.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.96 : 9,292.03 = 2,905.80 : x
  2. Step 2: Convert to fraction form
    6,199.96/9,292.03 = 2,905.80/x
  3. Step 3: Cross multiply
    6,199.96x = 9,292.03 × 2,905.80
  4. Step 4: Simplify right side
    6,199.96x = 27,000,719.78
  5. Step 5: Solve for x
    x = 27,000,719.78/6,199.96
  6. Step 6: Final answer
    x = 4,354.98

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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.