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Finding the Fourth Proportional to 6,093.14, 9,140.67 and 2,583.16

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Solution

The fourth proportional to 6,093.14, 9,140.67 and 2,583.16 is: 3,875.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.14 : 9,140.67 = 2,583.16 : x
  2. Step 2: Convert to fraction form
    6,093.14/9,140.67 = 2,583.16/x
  3. Step 3: Cross multiply
    6,093.14x = 9,140.67 × 2,583.16
  4. Step 4: Simplify right side
    6,093.14x = 23,611,813.12
  5. Step 5: Solve for x
    x = 23,611,813.12/6,093.14
  6. Step 6: Final answer
    x = 3,875.15

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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.