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Finding the Fourth Proportional to 9,503.80, 13,114.37 and 5,254.85

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Solution

The fourth proportional to 9,503.80, 13,114.37 and 5,254.85 is: 7,251.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.80 : 13,114.37 = 5,254.85 : x
  2. Step 2: Convert to fraction form
    9,503.80/13,114.37 = 5,254.85/x
  3. Step 3: Cross multiply
    9,503.80x = 13,114.37 × 5,254.85
  4. Step 4: Simplify right side
    9,503.80x = 68,914,093.12
  5. Step 5: Solve for x
    x = 68,914,093.12/9,503.80
  6. Step 6: Final answer
    x = 7,251.22

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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.