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Finding the Fourth Proportional to 6,094.85, 9,136.20 and 2,802.20

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Solution

The fourth proportional to 6,094.85, 9,136.20 and 2,802.20 is: 4,200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.85 : 9,136.20 = 2,802.20 : x
  2. Step 2: Convert to fraction form
    6,094.85/9,136.20 = 2,802.20/x
  3. Step 3: Cross multiply
    6,094.85x = 9,136.20 × 2,802.20
  4. Step 4: Simplify right side
    6,094.85x = 25,601,459.64
  5. Step 5: Solve for x
    x = 25,601,459.64/6,094.85
  6. Step 6: Final answer
    x = 4,200.51

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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.