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Finding the Fourth Proportional to 9,767.58, 14,649.81 and 3,193.71

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Solution

The fourth proportional to 9,767.58, 14,649.81 and 3,193.71 is: 4,790.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.58 : 14,649.81 = 3,193.71 : x
  2. Step 2: Convert to fraction form
    9,767.58/14,649.81 = 3,193.71/x
  3. Step 3: Cross multiply
    9,767.58x = 14,649.81 × 3,193.71
  4. Step 4: Simplify right side
    9,767.58x = 46,787,244.70
  5. Step 5: Solve for x
    x = 46,787,244.70/9,767.58
  6. Step 6: Final answer
    x = 4,790.05

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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.