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Finding the Fourth Proportional to 9,801.38, 14,669.22 and 8,046.29

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Solution

The fourth proportional to 9,801.38, 14,669.22 and 8,046.29 is: 12,042.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.38 : 14,669.22 = 8,046.29 : x
  2. Step 2: Convert to fraction form
    9,801.38/14,669.22 = 8,046.29/x
  3. Step 3: Cross multiply
    9,801.38x = 14,669.22 × 8,046.29
  4. Step 4: Simplify right side
    9,801.38x = 118,032,798.19
  5. Step 5: Solve for x
    x = 118,032,798.19/9,801.38
  6. Step 6: Final answer
    x = 12,042.47

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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.