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Finding the Fourth Proportional to 7,201.77, 9,940.18 and 4,811.86

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Solution

The fourth proportional to 7,201.77, 9,940.18 and 4,811.86 is: 6,641.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.77 : 9,940.18 = 4,811.86 : x
  2. Step 2: Convert to fraction form
    7,201.77/9,940.18 = 4,811.86/x
  3. Step 3: Cross multiply
    7,201.77x = 9,940.18 × 4,811.86
  4. Step 4: Simplify right side
    7,201.77x = 47,830,754.53
  5. Step 5: Solve for x
    x = 47,830,754.53/7,201.77
  6. Step 6: Final answer
    x = 6,641.53

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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.