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Finding the Fourth Proportional to 12,342.17, 18,489.94 and 6,094.89

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Solution

The fourth proportional to 12,342.17, 18,489.94 and 6,094.89 is: 9,130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342.17 : 18,489.94 = 6,094.89 : x
  2. Step 2: Convert to fraction form
    12,342.17/18,489.94 = 6,094.89/x
  3. Step 3: Cross multiply
    12,342.17x = 18,489.94 × 6,094.89
  4. Step 4: Simplify right side
    12,342.17x = 112,694,135.17
  5. Step 5: Solve for x
    x = 112,694,135.17/12,342.17
  6. Step 6: Final answer
    x = 9,130.82

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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.