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Finding the Fourth Proportional to 9,709.34, 13,398.84 and 5,517.59

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Solution

The fourth proportional to 9,709.34, 13,398.84 and 5,517.59 is: 7,614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.34 : 13,398.84 = 5,517.59 : x
  2. Step 2: Convert to fraction form
    9,709.34/13,398.84 = 5,517.59/x
  3. Step 3: Cross multiply
    9,709.34x = 13,398.84 × 5,517.59
  4. Step 4: Simplify right side
    9,709.34x = 73,929,238.60
  5. Step 5: Solve for x
    x = 73,929,238.60/9,709.34
  6. Step 6: Final answer
    x = 7,614.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.