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Finding the Fourth Proportional to 6,077.16, 9,114.75 and 1,693.62

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Solution

The fourth proportional to 6,077.16, 9,114.75 and 1,693.62 is: 2,540.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.16 : 9,114.75 = 1,693.62 : x
  2. Step 2: Convert to fraction form
    6,077.16/9,114.75 = 1,693.62/x
  3. Step 3: Cross multiply
    6,077.16x = 9,114.75 × 1,693.62
  4. Step 4: Simplify right side
    6,077.16x = 15,436,922.90
  5. Step 5: Solve for x
    x = 15,436,922.90/6,077.16
  6. Step 6: Final answer
    x = 2,540.15

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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.