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Finding the Fourth Proportional to 9,165.21, 12,659.85 and 6,780.03

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Solution

The fourth proportional to 9,165.21, 12,659.85 and 6,780.03 is: 9,365.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.21 : 12,659.85 = 6,780.03 : x
  2. Step 2: Convert to fraction form
    9,165.21/12,659.85 = 6,780.03/x
  3. Step 3: Cross multiply
    9,165.21x = 12,659.85 × 6,780.03
  4. Step 4: Simplify right side
    9,165.21x = 85,834,162.80
  5. Step 5: Solve for x
    x = 85,834,162.80/9,165.21
  6. Step 6: Final answer
    x = 9,365.22

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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.