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Finding the Fourth Proportional to 6,522.68, 9,785.38 and 2,627.08

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Solution

The fourth proportional to 6,522.68, 9,785.38 and 2,627.08 is: 3,941.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.68 : 9,785.38 = 2,627.08 : x
  2. Step 2: Convert to fraction form
    6,522.68/9,785.38 = 2,627.08/x
  3. Step 3: Cross multiply
    6,522.68x = 9,785.38 × 2,627.08
  4. Step 4: Simplify right side
    6,522.68x = 25,706,969.52
  5. Step 5: Solve for x
    x = 25,706,969.52/6,522.68
  6. Step 6: Final answer
    x = 3,941.17

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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.