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Finding the Fourth Proportional to 9,623.34, 13,272.85 and 6,644.16

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Solution

The fourth proportional to 9,623.34, 13,272.85 and 6,644.16 is: 9,163.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623.34 : 13,272.85 = 6,644.16 : x
  2. Step 2: Convert to fraction form
    9,623.34/13,272.85 = 6,644.16/x
  3. Step 3: Cross multiply
    9,623.34x = 13,272.85 × 6,644.16
  4. Step 4: Simplify right side
    9,623.34x = 88,186,839.47
  5. Step 5: Solve for x
    x = 88,186,839.47/9,623.34
  6. Step 6: Final answer
    x = 9,163.85

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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.