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Finding the Fourth Proportional to 6,099.68, 9,146.93 and 1,938.57

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Solution

The fourth proportional to 6,099.68, 9,146.93 and 1,938.57 is: 2,907.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.68 : 9,146.93 = 1,938.57 : x
  2. Step 2: Convert to fraction form
    6,099.68/9,146.93 = 1,938.57/x
  3. Step 3: Cross multiply
    6,099.68x = 9,146.93 × 1,938.57
  4. Step 4: Simplify right side
    6,099.68x = 17,731,971.55
  5. Step 5: Solve for x
    x = 17,731,971.55/6,099.68
  6. Step 6: Final answer
    x = 2,907.03

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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.