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Finding the Fourth Proportional to 9,255.19, 12,783.07 and 6,265.82

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Solution

The fourth proportional to 9,255.19, 12,783.07 and 6,265.82 is: 8,654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255.19 : 12,783.07 = 6,265.82 : x
  2. Step 2: Convert to fraction form
    9,255.19/12,783.07 = 6,265.82/x
  3. Step 3: Cross multiply
    9,255.19x = 12,783.07 × 6,265.82
  4. Step 4: Simplify right side
    9,255.19x = 80,096,415.67
  5. Step 5: Solve for x
    x = 80,096,415.67/9,255.19
  6. Step 6: Final answer
    x = 8,654.22

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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.