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Finding the Fourth Proportional to 9,998.28, 13,798.53 and 6,018.75

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Solution

The fourth proportional to 9,998.28, 13,798.53 and 6,018.75 is: 8,306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.28 : 13,798.53 = 6,018.75 : x
  2. Step 2: Convert to fraction form
    9,998.28/13,798.53 = 6,018.75/x
  3. Step 3: Cross multiply
    9,998.28x = 13,798.53 × 6,018.75
  4. Step 4: Simplify right side
    9,998.28x = 83,049,902.44
  5. Step 5: Solve for x
    x = 83,049,902.44/9,998.28
  6. Step 6: Final answer
    x = 8,306.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.