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Finding the Fourth Proportional to 6,097.68, 9,146.58 and 1,937.70

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Solution

The fourth proportional to 6,097.68, 9,146.58 and 1,937.70 is: 2,906.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.68 : 9,146.58 = 1,937.70 : x
  2. Step 2: Convert to fraction form
    6,097.68/9,146.58 = 1,937.70/x
  3. Step 3: Cross multiply
    6,097.68x = 9,146.58 × 1,937.70
  4. Step 4: Simplify right side
    6,097.68x = 17,723,328.07
  5. Step 5: Solve for x
    x = 17,723,328.07/6,097.68
  6. Step 6: Final answer
    x = 2,906.57

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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.