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Finding the Fourth Proportional to 6,381.48, 9,572.94 and 2,683.02

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Solution

The fourth proportional to 6,381.48, 9,572.94 and 2,683.02 is: 4,024.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.48 : 9,572.94 = 2,683.02 : x
  2. Step 2: Convert to fraction form
    6,381.48/9,572.94 = 2,683.02/x
  3. Step 3: Cross multiply
    6,381.48x = 9,572.94 × 2,683.02
  4. Step 4: Simplify right side
    6,381.48x = 25,684,389.48
  5. Step 5: Solve for x
    x = 25,684,389.48/6,381.48
  6. Step 6: Final answer
    x = 4,024.83

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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.