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Finding the Fourth Proportional to 9,797.18, 13,524.25 and 6,614.79

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Solution

The fourth proportional to 9,797.18, 13,524.25 and 6,614.79 is: 9,131.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.18 : 13,524.25 = 6,614.79 : x
  2. Step 2: Convert to fraction form
    9,797.18/13,524.25 = 6,614.79/x
  3. Step 3: Cross multiply
    9,797.18x = 13,524.25 × 6,614.79
  4. Step 4: Simplify right side
    9,797.18x = 89,460,073.66
  5. Step 5: Solve for x
    x = 89,460,073.66/9,797.18
  6. Step 6: Final answer
    x = 9,131.21

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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.