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Finding the Fourth Proportional to 9,998.81, 13,798.36 and 6,020.09

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Solution

The fourth proportional to 9,998.81, 13,798.36 and 6,020.09 is: 8,307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.81 : 13,798.36 = 6,020.09 : x
  2. Step 2: Convert to fraction form
    9,998.81/13,798.36 = 6,020.09/x
  3. Step 3: Cross multiply
    9,998.81x = 13,798.36 × 6,020.09
  4. Step 4: Simplify right side
    9,998.81x = 83,067,411.07
  5. Step 5: Solve for x
    x = 83,067,411.07/9,998.81
  6. Step 6: Final answer
    x = 8,307.73

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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.