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Finding the Fourth Proportional to 9,283.50, 12,811.26 and 5,091.78

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Solution

The fourth proportional to 9,283.50, 12,811.26 and 5,091.78 is: 7,026.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.50 : 12,811.26 = 5,091.78 : x
  2. Step 2: Convert to fraction form
    9,283.50/12,811.26 = 5,091.78/x
  3. Step 3: Cross multiply
    9,283.50x = 12,811.26 × 5,091.78
  4. Step 4: Simplify right side
    9,283.50x = 65,232,117.44
  5. Step 5: Solve for x
    x = 65,232,117.44/9,283.50
  6. Step 6: Final answer
    x = 7,026.67

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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.