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Finding the Fourth Proportional to 6,090.75, 9,136.26 and 4,214.79

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Solution

The fourth proportional to 6,090.75, 9,136.26 and 4,214.79 is: 6,322.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.75 : 9,136.26 = 4,214.79 : x
  2. Step 2: Convert to fraction form
    6,090.75/9,136.26 = 4,214.79/x
  3. Step 3: Cross multiply
    6,090.75x = 9,136.26 × 4,214.79
  4. Step 4: Simplify right side
    6,090.75x = 38,507,417.29
  5. Step 5: Solve for x
    x = 38,507,417.29/6,090.75
  6. Step 6: Final answer
    x = 6,322.28

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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.