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Finding the Fourth Proportional to 9,278.21, 12,806.44 and 5,739.46

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Solution

The fourth proportional to 9,278.21, 12,806.44 and 5,739.46 is: 7,922.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.21 : 12,806.44 = 5,739.46 : x
  2. Step 2: Convert to fraction form
    9,278.21/12,806.44 = 5,739.46/x
  3. Step 3: Cross multiply
    9,278.21x = 12,806.44 × 5,739.46
  4. Step 4: Simplify right side
    9,278.21x = 73,502,003.76
  5. Step 5: Solve for x
    x = 73,502,003.76/9,278.21
  6. Step 6: Final answer
    x = 7,922.00

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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.