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Finding the Fourth Proportional to 6,457.68, 9,683.28 and 2,997.36

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Solution

The fourth proportional to 6,457.68, 9,683.28 and 2,997.36 is: 4,494.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.68 : 9,683.28 = 2,997.36 : x
  2. Step 2: Convert to fraction form
    6,457.68/9,683.28 = 2,997.36/x
  3. Step 3: Cross multiply
    6,457.68x = 9,683.28 × 2,997.36
  4. Step 4: Simplify right side
    6,457.68x = 29,024,276.14
  5. Step 5: Solve for x
    x = 29,024,276.14/6,457.68
  6. Step 6: Final answer
    x = 4,494.54

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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.