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Finding the Fourth Proportional to 9,694.77, 14,544.59 and 3,851.84

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Solution

The fourth proportional to 9,694.77, 14,544.59 and 3,851.84 is: 5,778.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.77 : 14,544.59 = 3,851.84 : x
  2. Step 2: Convert to fraction form
    9,694.77/14,544.59 = 3,851.84/x
  3. Step 3: Cross multiply
    9,694.77x = 14,544.59 × 3,851.84
  4. Step 4: Simplify right side
    9,694.77x = 56,023,341.56
  5. Step 5: Solve for x
    x = 56,023,341.56/9,694.77
  6. Step 6: Final answer
    x = 5,778.72

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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.