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Finding the Fourth Proportional to 6,483.29, 9,725.88 and 3,196.58

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Solution

The fourth proportional to 6,483.29, 9,725.88 and 3,196.58 is: 4,795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.29 : 9,725.88 = 3,196.58 : x
  2. Step 2: Convert to fraction form
    6,483.29/9,725.88 = 3,196.58/x
  3. Step 3: Cross multiply
    6,483.29x = 9,725.88 × 3,196.58
  4. Step 4: Simplify right side
    6,483.29x = 31,089,504.86
  5. Step 5: Solve for x
    x = 31,089,504.86/6,483.29
  6. Step 6: Final answer
    x = 4,795.33

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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.