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Finding the Fourth Proportional to 9,902.08, 14,853.14 and 4,057.64

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Solution

The fourth proportional to 9,902.08, 14,853.14 and 4,057.64 is: 6,086.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.08 : 14,853.14 = 4,057.64 : x
  2. Step 2: Convert to fraction form
    9,902.08/14,853.14 = 4,057.64/x
  3. Step 3: Cross multiply
    9,902.08x = 14,853.14 × 4,057.64
  4. Step 4: Simplify right side
    9,902.08x = 60,268,694.99
  5. Step 5: Solve for x
    x = 60,268,694.99/9,902.08
  6. Step 6: Final answer
    x = 6,086.47

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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.