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Finding the Fourth Proportional to 9,108.23, 12,567.12 and 6,077.39

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Solution

The fourth proportional to 9,108.23, 12,567.12 and 6,077.39 is: 8,385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,108.23 : 12,567.12 = 6,077.39 : x
  2. Step 2: Convert to fraction form
    9,108.23/12,567.12 = 6,077.39/x
  3. Step 3: Cross multiply
    9,108.23x = 12,567.12 × 6,077.39
  4. Step 4: Simplify right side
    9,108.23x = 76,375,226.58
  5. Step 5: Solve for x
    x = 76,375,226.58/9,108.23
  6. Step 6: Final answer
    x = 8,385.30

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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.