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Finding the Fourth Proportional to 6,627.74, 9,146.52 and 3,643.88

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Solution

The fourth proportional to 6,627.74, 9,146.52 and 3,643.88 is: 5,028.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627.74 : 9,146.52 = 3,643.88 : x
  2. Step 2: Convert to fraction form
    6,627.74/9,146.52 = 3,643.88/x
  3. Step 3: Cross multiply
    6,627.74x = 9,146.52 × 3,643.88
  4. Step 4: Simplify right side
    6,627.74x = 33,328,775.57
  5. Step 5: Solve for x
    x = 33,328,775.57/6,627.74
  6. Step 6: Final answer
    x = 5,028.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.