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Finding the Fourth Proportional to 9,108.73, 13,657.62 and 6,178.15

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Solution

The fourth proportional to 9,108.73, 13,657.62 and 6,178.15 is: 9,263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,108.73 : 13,657.62 = 6,178.15 : x
  2. Step 2: Convert to fraction form
    9,108.73/13,657.62 = 6,178.15/x
  3. Step 3: Cross multiply
    9,108.73x = 13,657.62 × 6,178.15
  4. Step 4: Simplify right side
    9,108.73x = 84,378,825.00
  5. Step 5: Solve for x
    x = 84,378,825.00/9,108.73
  6. Step 6: Final answer
    x = 9,263.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.