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Finding the Fourth Proportional to 6,582.32, 9,868.32 and 3,293.76

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Solution

The fourth proportional to 6,582.32, 9,868.32 and 3,293.76 is: 4,938.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.32 : 9,868.32 = 3,293.76 : x
  2. Step 2: Convert to fraction form
    6,582.32/9,868.32 = 3,293.76/x
  3. Step 3: Cross multiply
    6,582.32x = 9,868.32 × 3,293.76
  4. Step 4: Simplify right side
    6,582.32x = 32,503,877.68
  5. Step 5: Solve for x
    x = 32,503,877.68/6,582.32
  6. Step 6: Final answer
    x = 4,938.06

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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.