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Finding the Fourth Proportional to 6,742.00, 9,304.01 and 3,758.03

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Solution

The fourth proportional to 6,742.00, 9,304.01 and 3,758.03 is: 5,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.00 : 9,304.01 = 3,758.03 : x
  2. Step 2: Convert to fraction form
    6,742.00/9,304.01 = 3,758.03/x
  3. Step 3: Cross multiply
    6,742.00x = 9,304.01 × 3,758.03
  4. Step 4: Simplify right side
    6,742.00x = 34,964,720.74
  5. Step 5: Solve for x
    x = 34,964,720.74/6,742.00
  6. Step 6: Final answer
    x = 5,186.10

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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.