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Finding the Fourth Proportional to 6,090.95, 9,136.29 and 1,708.31

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Solution

The fourth proportional to 6,090.95, 9,136.29 and 1,708.31 is: 2,562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.95 : 9,136.29 = 1,708.31 : x
  2. Step 2: Convert to fraction form
    6,090.95/9,136.29 = 1,708.31/x
  3. Step 3: Cross multiply
    6,090.95x = 9,136.29 × 1,708.31
  4. Step 4: Simplify right side
    6,090.95x = 15,607,615.57
  5. Step 5: Solve for x
    x = 15,607,615.57/6,090.95
  6. Step 6: Final answer
    x = 2,562.43

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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.