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Finding the Fourth Proportional to 9,865.06, 13,617.63 and 6,676.80

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Solution

The fourth proportional to 9,865.06, 13,617.63 and 6,676.80 is: 9,216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.06 : 13,617.63 = 6,676.80 : x
  2. Step 2: Convert to fraction form
    9,865.06/13,617.63 = 6,676.80/x
  3. Step 3: Cross multiply
    9,865.06x = 13,617.63 × 6,676.80
  4. Step 4: Simplify right side
    9,865.06x = 90,922,191.98
  5. Step 5: Solve for x
    x = 90,922,191.98/9,865.06
  6. Step 6: Final answer
    x = 9,216.59

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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.