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Finding the Fourth Proportional to 9,233.07, 12,741.31 and 5,696.19

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Solution

The fourth proportional to 9,233.07, 12,741.31 and 5,696.19 is: 7,860.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.07 : 12,741.31 = 5,696.19 : x
  2. Step 2: Convert to fraction form
    9,233.07/12,741.31 = 5,696.19/x
  3. Step 3: Cross multiply
    9,233.07x = 12,741.31 × 5,696.19
  4. Step 4: Simplify right side
    9,233.07x = 72,576,922.61
  5. Step 5: Solve for x
    x = 72,576,922.61/9,233.07
  6. Step 6: Final answer
    x = 7,860.54

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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.