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Finding the Fourth Proportional to 9,801.28, 14,698.82 and 3,226

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Solution

The fourth proportional to 9,801.28, 14,698.82 and 3,226 is: 4,837.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.28 : 14,698.82 = 3,226 : x
  2. Step 2: Convert to fraction form
    9,801.28/14,698.82 = 3,226/x
  3. Step 3: Cross multiply
    9,801.28x = 14,698.82 × 3,226
  4. Step 4: Simplify right side
    9,801.28x = 47,418,393.32
  5. Step 5: Solve for x
    x = 47,418,393.32/9,801.28
  6. Step 6: Final answer
    x = 4,837.98

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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.