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Finding the Fourth Proportional to 9,138.26, 13,699.15 and 3,290.75

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Solution

The fourth proportional to 9,138.26, 13,699.15 and 3,290.75 is: 4,933.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.26 : 13,699.15 = 3,290.75 : x
  2. Step 2: Convert to fraction form
    9,138.26/13,699.15 = 3,290.75/x
  3. Step 3: Cross multiply
    9,138.26x = 13,699.15 × 3,290.75
  4. Step 4: Simplify right side
    9,138.26x = 45,080,477.86
  5. Step 5: Solve for x
    x = 45,080,477.86/9,138.26
  6. Step 6: Final answer
    x = 4,933.16

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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.