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Finding the Fourth Proportional to 6,090.04, 9,114 and 3,749.14

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Solution

The fourth proportional to 6,090.04, 9,114 and 3,749.14 is: 5,610.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.04 : 9,114 = 3,749.14 : x
  2. Step 2: Convert to fraction form
    6,090.04/9,114 = 3,749.14/x
  3. Step 3: Cross multiply
    6,090.04x = 9,114 × 3,749.14
  4. Step 4: Simplify right side
    6,090.04x = 34,169,661.96
  5. Step 5: Solve for x
    x = 34,169,661.96/6,090.04
  6. Step 6: Final answer
    x = 5,610.75

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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.