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Finding the Fourth Proportional to 6,483.24, 9,725.76 and 2,099.28

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Solution

The fourth proportional to 6,483.24, 9,725.76 and 2,099.28 is: 3,149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.24 : 9,725.76 = 2,099.28 : x
  2. Step 2: Convert to fraction form
    6,483.24/9,725.76 = 2,099.28/x
  3. Step 3: Cross multiply
    6,483.24x = 9,725.76 × 2,099.28
  4. Step 4: Simplify right side
    6,483.24x = 20,417,093.45
  5. Step 5: Solve for x
    x = 20,417,093.45/6,483.24
  6. Step 6: Final answer
    x = 3,149.21

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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.