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Finding the Fourth Proportional to 6,304.67, 9,457.02 and 2,144.51

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Solution

The fourth proportional to 6,304.67, 9,457.02 and 2,144.51 is: 3,216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.67 : 9,457.02 = 2,144.51 : x
  2. Step 2: Convert to fraction form
    6,304.67/9,457.02 = 2,144.51/x
  3. Step 3: Cross multiply
    6,304.67x = 9,457.02 × 2,144.51
  4. Step 4: Simplify right side
    6,304.67x = 20,280,673.96
  5. Step 5: Solve for x
    x = 20,280,673.96/6,304.67
  6. Step 6: Final answer
    x = 3,216.77

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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.