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Finding the Fourth Proportional to 9,283.23, 12,811.23 and 5,091.48

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Solution

The fourth proportional to 9,283.23, 12,811.23 and 5,091.48 is: 7,026.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.23 : 12,811.23 = 5,091.48 : x
  2. Step 2: Convert to fraction form
    9,283.23/12,811.23 = 5,091.48/x
  3. Step 3: Cross multiply
    9,283.23x = 12,811.23 × 5,091.48
  4. Step 4: Simplify right side
    9,283.23x = 65,228,121.32
  5. Step 5: Solve for x
    x = 65,228,121.32/9,283.23
  6. Step 6: Final answer
    x = 7,026.45

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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.