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Finding the Fourth Proportional to 8,974.36, 12,382.48 and 6,741.56

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Solution

The fourth proportional to 8,974.36, 12,382.48 and 6,741.56 is: 9,301.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.36 : 12,382.48 = 6,741.56 : x
  2. Step 2: Convert to fraction form
    8,974.36/12,382.48 = 6,741.56/x
  3. Step 3: Cross multiply
    8,974.36x = 12,382.48 × 6,741.56
  4. Step 4: Simplify right side
    8,974.36x = 83,477,271.25
  5. Step 5: Solve for x
    x = 83,477,271.25/8,974.36
  6. Step 6: Final answer
    x = 9,301.75

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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.