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Finding the Fourth Proportional to 9,503.21, 13,114.37 and 5,311.46

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Solution

The fourth proportional to 9,503.21, 13,114.37 and 5,311.46 is: 7,329.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.21 : 13,114.37 = 5,311.46 : x
  2. Step 2: Convert to fraction form
    9,503.21/13,114.37 = 5,311.46/x
  3. Step 3: Cross multiply
    9,503.21x = 13,114.37 × 5,311.46
  4. Step 4: Simplify right side
    9,503.21x = 69,656,425.12
  5. Step 5: Solve for x
    x = 69,656,425.12/9,503.21
  6. Step 6: Final answer
    x = 7,329.78

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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.