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Finding the Fourth Proportional to 6,628.14, 9,146.52 and 3,644.10

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Solution

The fourth proportional to 6,628.14, 9,146.52 and 3,644.10 is: 5,028.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628.14 : 9,146.52 = 3,644.10 : x
  2. Step 2: Convert to fraction form
    6,628.14/9,146.52 = 3,644.10/x
  3. Step 3: Cross multiply
    6,628.14x = 9,146.52 × 3,644.10
  4. Step 4: Simplify right side
    6,628.14x = 33,330,833.53
  5. Step 5: Solve for x
    x = 33,330,833.53/6,628.14
  6. Step 6: Final answer
    x = 5,028.69

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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.