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Finding the Fourth Proportional to 9,794.49, 14,658.90 and 8,039.43

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Solution

The fourth proportional to 9,794.49, 14,658.90 and 8,039.43 is: 12,032.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.49 : 14,658.90 = 8,039.43 : x
  2. Step 2: Convert to fraction form
    9,794.49/14,658.90 = 8,039.43/x
  3. Step 3: Cross multiply
    9,794.49x = 14,658.90 × 8,039.43
  4. Step 4: Simplify right side
    9,794.49x = 117,849,200.43
  5. Step 5: Solve for x
    x = 117,849,200.43/9,794.49
  6. Step 6: Final answer
    x = 12,032.19

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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.