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Finding the Fourth Proportional to 6,340.96, 9,509.52 and 2,236

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Solution

The fourth proportional to 6,340.96, 9,509.52 and 2,236 is: 3,353.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.96 : 9,509.52 = 2,236 : x
  2. Step 2: Convert to fraction form
    6,340.96/9,509.52 = 2,236/x
  3. Step 3: Cross multiply
    6,340.96x = 9,509.52 × 2,236
  4. Step 4: Simplify right side
    6,340.96x = 21,263,286.72
  5. Step 5: Solve for x
    x = 21,263,286.72/6,340.96
  6. Step 6: Final answer
    x = 3,353.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.