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Finding the Fourth Proportional to 9,798.68, 14,698.02 and 6,889.97

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Solution

The fourth proportional to 9,798.68, 14,698.02 and 6,889.97 is: 10,334.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.68 : 14,698.02 = 6,889.97 : x
  2. Step 2: Convert to fraction form
    9,798.68/14,698.02 = 6,889.97/x
  3. Step 3: Cross multiply
    9,798.68x = 14,698.02 × 6,889.97
  4. Step 4: Simplify right side
    9,798.68x = 101,268,843.37
  5. Step 5: Solve for x
    x = 101,268,843.37/9,798.68
  6. Step 6: Final answer
    x = 10,334.95

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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.