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Finding the Fourth Proportional to 6,309.21, 8,697.38 and 4,040.30

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Solution

The fourth proportional to 6,309.21, 8,697.38 and 4,040.30 is: 5,569.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.21 : 8,697.38 = 4,040.30 : x
  2. Step 2: Convert to fraction form
    6,309.21/8,697.38 = 4,040.30/x
  3. Step 3: Cross multiply
    6,309.21x = 8,697.38 × 4,040.30
  4. Step 4: Simplify right side
    6,309.21x = 35,140,025.96
  5. Step 5: Solve for x
    x = 35,140,025.96/6,309.21
  6. Step 6: Final answer
    x = 5,569.64

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Why These Related Problems?

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