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Finding the Fourth Proportional to 6,407.35, 9,613.99 and 2,457.29

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Solution

The fourth proportional to 6,407.35, 9,613.99 and 2,457.29 is: 3,687.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.35 : 9,613.99 = 2,457.29 : x
  2. Step 2: Convert to fraction form
    6,407.35/9,613.99 = 2,457.29/x
  3. Step 3: Cross multiply
    6,407.35x = 9,613.99 × 2,457.29
  4. Step 4: Simplify right side
    6,407.35x = 23,624,361.49
  5. Step 5: Solve for x
    x = 23,624,361.49/6,407.35
  6. Step 6: Final answer
    x = 3,687.07

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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.