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Finding the Fourth Proportional to 9,847.07, 14,772.47 and 3,185.36

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Solution

The fourth proportional to 9,847.07, 14,772.47 and 3,185.36 is: 4,778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.07 : 14,772.47 = 3,185.36 : x
  2. Step 2: Convert to fraction form
    9,847.07/14,772.47 = 3,185.36/x
  3. Step 3: Cross multiply
    9,847.07x = 14,772.47 × 3,185.36
  4. Step 4: Simplify right side
    9,847.07x = 47,055,635.04
  5. Step 5: Solve for x
    x = 47,055,635.04/9,847.07
  6. Step 6: Final answer
    x = 4,778.64

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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.