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Finding the Fourth Proportional to 9,265.26, 13,892.18 and 3,420.30

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Solution

The fourth proportional to 9,265.26, 13,892.18 and 3,420.30 is: 5,128.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.26 : 13,892.18 = 3,420.30 : x
  2. Step 2: Convert to fraction form
    9,265.26/13,892.18 = 3,420.30/x
  3. Step 3: Cross multiply
    9,265.26x = 13,892.18 × 3,420.30
  4. Step 4: Simplify right side
    9,265.26x = 47,515,406.15
  5. Step 5: Solve for x
    x = 47,515,406.15/9,265.26
  6. Step 6: Final answer
    x = 5,128.34

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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.