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Finding the Fourth Proportional to 9,032.88, 13,541.22 and 5,736.72

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Solution

The fourth proportional to 9,032.88, 13,541.22 and 5,736.72 is: 8,599.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.88 : 13,541.22 = 5,736.72 : x
  2. Step 2: Convert to fraction form
    9,032.88/13,541.22 = 5,736.72/x
  3. Step 3: Cross multiply
    9,032.88x = 13,541.22 × 5,736.72
  4. Step 4: Simplify right side
    9,032.88x = 77,682,187.60
  5. Step 5: Solve for x
    x = 77,682,187.60/9,032.88
  6. Step 6: Final answer
    x = 8,599.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.