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Finding the Fourth Proportional to 9,309.21, 13,960.17 and 3,462.63

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Solution

The fourth proportional to 9,309.21, 13,960.17 and 3,462.63 is: 5,192.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.21 : 13,960.17 = 3,462.63 : x
  2. Step 2: Convert to fraction form
    9,309.21/13,960.17 = 3,462.63/x
  3. Step 3: Cross multiply
    9,309.21x = 13,960.17 × 3,462.63
  4. Step 4: Simplify right side
    9,309.21x = 48,338,903.45
  5. Step 5: Solve for x
    x = 48,338,903.45/9,309.21
  6. Step 6: Final answer
    x = 5,192.59

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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.