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Finding the Fourth Proportional to 6,115.85, 9,172.58 and 1,954.74

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Solution

The fourth proportional to 6,115.85, 9,172.58 and 1,954.74 is: 2,931.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.85 : 9,172.58 = 1,954.74 : x
  2. Step 2: Convert to fraction form
    6,115.85/9,172.58 = 1,954.74/x
  3. Step 3: Cross multiply
    6,115.85x = 9,172.58 × 1,954.74
  4. Step 4: Simplify right side
    6,115.85x = 17,930,009.03
  5. Step 5: Solve for x
    x = 17,930,009.03/6,115.85
  6. Step 6: Final answer
    x = 2,931.73

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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.