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Finding the Fourth Proportional to 6,324.59, 9,486.89 and 1,942.09

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Solution

The fourth proportional to 6,324.59, 9,486.89 and 1,942.09 is: 2,913.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.59 : 9,486.89 = 1,942.09 : x
  2. Step 2: Convert to fraction form
    6,324.59/9,486.89 = 1,942.09/x
  3. Step 3: Cross multiply
    6,324.59x = 9,486.89 × 1,942.09
  4. Step 4: Simplify right side
    6,324.59x = 18,424,368.06
  5. Step 5: Solve for x
    x = 18,424,368.06/6,324.59
  6. Step 6: Final answer
    x = 2,913.13

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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.