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Finding the Fourth Proportional to 9,447.27, 14,170 and 2,873.51

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Solution

The fourth proportional to 9,447.27, 14,170 and 2,873.51 is: 4,309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.27 : 14,170 = 2,873.51 : x
  2. Step 2: Convert to fraction form
    9,447.27/14,170 = 2,873.51/x
  3. Step 3: Cross multiply
    9,447.27x = 14,170 × 2,873.51
  4. Step 4: Simplify right side
    9,447.27x = 40,717,636.70
  5. Step 5: Solve for x
    x = 40,717,636.70/9,447.27
  6. Step 6: Final answer
    x = 4,309.99

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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.