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Finding the Fourth Proportional to 6,137.71, 9,199.43 and 3,507.06

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Solution

The fourth proportional to 6,137.71, 9,199.43 and 3,507.06 is: 5,256.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.71 : 9,199.43 = 3,507.06 : x
  2. Step 2: Convert to fraction form
    6,137.71/9,199.43 = 3,507.06/x
  3. Step 3: Cross multiply
    6,137.71x = 9,199.43 × 3,507.06
  4. Step 4: Simplify right side
    6,137.71x = 32,262,935.44
  5. Step 5: Solve for x
    x = 32,262,935.44/6,137.71
  6. Step 6: Final answer
    x = 5,256.51

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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.