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Finding the Fourth Proportional to 6,381.75, 9,572.63 and 1,999.55

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Solution

The fourth proportional to 6,381.75, 9,572.63 and 1,999.55 is: 2,999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.75 : 9,572.63 = 1,999.55 : x
  2. Step 2: Convert to fraction form
    6,381.75/9,572.63 = 1,999.55/x
  3. Step 3: Cross multiply
    6,381.75x = 9,572.63 × 1,999.55
  4. Step 4: Simplify right side
    6,381.75x = 19,140,915.22
  5. Step 5: Solve for x
    x = 19,140,915.22/6,381.75
  6. Step 6: Final answer
    x = 2,999.32

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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.