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Finding the Fourth Proportional to 9,278.40, 12,804.24 and 5,086.56

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Solution

The fourth proportional to 9,278.40, 12,804.24 and 5,086.56 is: 7,019.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.40 : 12,804.24 = 5,086.56 : x
  2. Step 2: Convert to fraction form
    9,278.40/12,804.24 = 5,086.56/x
  3. Step 3: Cross multiply
    9,278.40x = 12,804.24 × 5,086.56
  4. Step 4: Simplify right side
    9,278.40x = 65,129,535.01
  5. Step 5: Solve for x
    x = 65,129,535.01/9,278.40
  6. Step 6: Final answer
    x = 7,019.48

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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.