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Finding the Fourth Proportional to 6,457.76, 9,678.52 and 3,496.09

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Solution

The fourth proportional to 6,457.76, 9,678.52 and 3,496.09 is: 5,239.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.76 : 9,678.52 = 3,496.09 : x
  2. Step 2: Convert to fraction form
    6,457.76/9,678.52 = 3,496.09/x
  3. Step 3: Cross multiply
    6,457.76x = 9,678.52 × 3,496.09
  4. Step 4: Simplify right side
    6,457.76x = 33,836,911.11
  5. Step 5: Solve for x
    x = 33,836,911.11/6,457.76
  6. Step 6: Final answer
    x = 5,239.73

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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.