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Finding the Fourth Proportional to 6,185.75, 9,280.67 and 4,113.90

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Solution

The fourth proportional to 6,185.75, 9,280.67 and 4,113.90 is: 6,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.75 : 9,280.67 = 4,113.90 : x
  2. Step 2: Convert to fraction form
    6,185.75/9,280.67 = 4,113.90/x
  3. Step 3: Cross multiply
    6,185.75x = 9,280.67 × 4,113.90
  4. Step 4: Simplify right side
    6,185.75x = 38,179,748.31
  5. Step 5: Solve for x
    x = 38,179,748.31/6,185.75
  6. Step 6: Final answer
    x = 6,172.21

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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.