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Finding the Fourth Proportional to 9,892.02, 14,833.08 and 3,651.78

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Solution

The fourth proportional to 9,892.02, 14,833.08 and 3,651.78 is: 5,475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.02 : 14,833.08 = 3,651.78 : x
  2. Step 2: Convert to fraction form
    9,892.02/14,833.08 = 3,651.78/x
  3. Step 3: Cross multiply
    9,892.02x = 14,833.08 × 3,651.78
  4. Step 4: Simplify right side
    9,892.02x = 54,167,144.88
  5. Step 5: Solve for x
    x = 54,167,144.88/9,892.02
  6. Step 6: Final answer
    x = 5,475.84

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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.