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Finding the Fourth Proportional to 9,708.37, 13,399.76 and 6,872.80

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Solution

The fourth proportional to 9,708.37, 13,399.76 and 6,872.80 is: 9,486.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.37 : 13,399.76 = 6,872.80 : x
  2. Step 2: Convert to fraction form
    9,708.37/13,399.76 = 6,872.80/x
  3. Step 3: Cross multiply
    9,708.37x = 13,399.76 × 6,872.80
  4. Step 4: Simplify right side
    9,708.37x = 92,093,803.53
  5. Step 5: Solve for x
    x = 92,093,803.53/9,708.37
  6. Step 6: Final answer
    x = 9,486.03

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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.