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Finding the Fourth Proportional to 6,742.00, 9,302.54 and 4,090.26

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Solution

The fourth proportional to 6,742.00, 9,302.54 and 4,090.26 is: 5,643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.00 : 9,302.54 = 4,090.26 : x
  2. Step 2: Convert to fraction form
    6,742.00/9,302.54 = 4,090.26/x
  3. Step 3: Cross multiply
    6,742.00x = 9,302.54 × 4,090.26
  4. Step 4: Simplify right side
    6,742.00x = 38,049,786.81
  5. Step 5: Solve for x
    x = 38,049,786.81/6,742.00
  6. Step 6: Final answer
    x = 5,643.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.