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Finding the Fourth Proportional to 7,085.22, 9,777.63 and 3,941.46

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Solution

The fourth proportional to 7,085.22, 9,777.63 and 3,941.46 is: 5,439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.22 : 9,777.63 = 3,941.46 : x
  2. Step 2: Convert to fraction form
    7,085.22/9,777.63 = 3,941.46/x
  3. Step 3: Cross multiply
    7,085.22x = 9,777.63 × 3,941.46
  4. Step 4: Simplify right side
    7,085.22x = 38,538,137.54
  5. Step 5: Solve for x
    x = 38,538,137.54/7,085.22
  6. Step 6: Final answer
    x = 5,439.23

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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.