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Finding the Fourth Proportional to 9,604.77, 14,405.94 and 3,765.48

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Solution

The fourth proportional to 9,604.77, 14,405.94 and 3,765.48 is: 5,647.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.77 : 14,405.94 = 3,765.48 : x
  2. Step 2: Convert to fraction form
    9,604.77/14,405.94 = 3,765.48/x
  3. Step 3: Cross multiply
    9,604.77x = 14,405.94 × 3,765.48
  4. Step 4: Simplify right side
    9,604.77x = 54,245,278.95
  5. Step 5: Solve for x
    x = 54,245,278.95/9,604.77
  6. Step 6: Final answer
    x = 5,647.74

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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.