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Finding the Fourth Proportional to 9,767.76, 14,653.46 and 3,194.30

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Solution

The fourth proportional to 9,767.76, 14,653.46 and 3,194.30 is: 4,792.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.76 : 14,653.46 = 3,194.30 : x
  2. Step 2: Convert to fraction form
    9,767.76/14,653.46 = 3,194.30/x
  3. Step 3: Cross multiply
    9,767.76x = 14,653.46 × 3,194.30
  4. Step 4: Simplify right side
    9,767.76x = 46,807,458.04
  5. Step 5: Solve for x
    x = 46,807,458.04/9,767.76
  6. Step 6: Final answer
    x = 4,792.04

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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.