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Finding the Fourth Proportional to 6,343.64, 9,515.45 and 3,745.16

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Solution

The fourth proportional to 6,343.64, 9,515.45 and 3,745.16 is: 5,617.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.64 : 9,515.45 = 3,745.16 : x
  2. Step 2: Convert to fraction form
    6,343.64/9,515.45 = 3,745.16/x
  3. Step 3: Cross multiply
    6,343.64x = 9,515.45 × 3,745.16
  4. Step 4: Simplify right side
    6,343.64x = 35,636,844.51
  5. Step 5: Solve for x
    x = 35,636,844.51/6,343.64
  6. Step 6: Final answer
    x = 5,617.73

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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.