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Finding the Fourth Proportional to 6,480.32, 9,714.82 and 3,358.68

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Solution

The fourth proportional to 6,480.32, 9,714.82 and 3,358.68 is: 5,035.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.32 : 9,714.82 = 3,358.68 : x
  2. Step 2: Convert to fraction form
    6,480.32/9,714.82 = 3,358.68/x
  3. Step 3: Cross multiply
    6,480.32x = 9,714.82 × 3,358.68
  4. Step 4: Simplify right side
    6,480.32x = 32,628,971.64
  5. Step 5: Solve for x
    x = 32,628,971.64/6,480.32
  6. Step 6: Final answer
    x = 5,035.09

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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.