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Finding the Fourth Proportional to 9,004.30, 13,507.97 and 3,742.13

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Solution

The fourth proportional to 9,004.30, 13,507.97 and 3,742.13 is: 5,613.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,004.30 : 13,507.97 = 3,742.13 : x
  2. Step 2: Convert to fraction form
    9,004.30/13,507.97 = 3,742.13/x
  3. Step 3: Cross multiply
    9,004.30x = 13,507.97 × 3,742.13
  4. Step 4: Simplify right side
    9,004.30x = 50,548,594.84
  5. Step 5: Solve for x
    x = 50,548,594.84/9,004.30
  6. Step 6: Final answer
    x = 5,613.83

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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.