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Finding the Fourth Proportional to 6,138.40, 9,201.29 and 3,500.51

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Solution

The fourth proportional to 6,138.40, 9,201.29 and 3,500.51 is: 5,247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.40 : 9,201.29 = 3,500.51 : x
  2. Step 2: Convert to fraction form
    6,138.40/9,201.29 = 3,500.51/x
  3. Step 3: Cross multiply
    6,138.40x = 9,201.29 × 3,500.51
  4. Step 4: Simplify right side
    6,138.40x = 32,209,161.65
  5. Step 5: Solve for x
    x = 32,209,161.65/6,138.40
  6. Step 6: Final answer
    x = 5,247.16

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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.