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Finding the Fourth Proportional to 9,008, 13,505.98 and 3,741.64

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Solution

The fourth proportional to 9,008, 13,505.98 and 3,741.64 is: 5,609.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,008 : 13,505.98 = 3,741.64 : x
  2. Step 2: Convert to fraction form
    9,008/13,505.98 = 3,741.64/x
  3. Step 3: Cross multiply
    9,008x = 13,505.98 × 3,741.64
  4. Step 4: Simplify right side
    9,008x = 50,534,515.01
  5. Step 5: Solve for x
    x = 50,534,515.01/9,008
  6. Step 6: Final answer
    x = 5,609.96

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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.