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Finding the Fourth Proportional to 7,147.77, 9,863.95 and 4,003.96

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Solution

The fourth proportional to 7,147.77, 9,863.95 and 4,003.96 is: 5,525.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.77 : 9,863.95 = 4,003.96 : x
  2. Step 2: Convert to fraction form
    7,147.77/9,863.95 = 4,003.96/x
  3. Step 3: Cross multiply
    7,147.77x = 9,863.95 × 4,003.96
  4. Step 4: Simplify right side
    7,147.77x = 39,494,811.92
  5. Step 5: Solve for x
    x = 39,494,811.92/7,147.77
  6. Step 6: Final answer
    x = 5,525.47

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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.