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Finding the Fourth Proportional to 6,090.44, 9,140.78 and 5,706.44

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Solution

The fourth proportional to 6,090.44, 9,140.78 and 5,706.44 is: 8,564.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.44 : 9,140.78 = 5,706.44 : x
  2. Step 2: Convert to fraction form
    6,090.44/9,140.78 = 5,706.44/x
  3. Step 3: Cross multiply
    6,090.44x = 9,140.78 × 5,706.44
  4. Step 4: Simplify right side
    6,090.44x = 52,161,312.62
  5. Step 5: Solve for x
    x = 52,161,312.62/6,090.44
  6. Step 6: Final answer
    x = 8,564.46

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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.