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Finding the Fourth Proportional to 9,796.61, 13,523.46 and 6,614.21

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Solution

The fourth proportional to 9,796.61, 13,523.46 and 6,614.21 is: 9,130.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.61 : 13,523.46 = 6,614.21 : x
  2. Step 2: Convert to fraction form
    9,796.61/13,523.46 = 6,614.21/x
  3. Step 3: Cross multiply
    9,796.61x = 13,523.46 × 6,614.21
  4. Step 4: Simplify right side
    9,796.61x = 89,447,013.37
  5. Step 5: Solve for x
    x = 89,447,013.37/9,796.61
  6. Step 6: Final answer
    x = 9,130.41

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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.