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Finding the Fourth Proportional to 9,024.36, 13,540.58 and 5,736.60

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Solution

The fourth proportional to 9,024.36, 13,540.58 and 5,736.60 is: 8,607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.36 : 13,540.58 = 5,736.60 : x
  2. Step 2: Convert to fraction form
    9,024.36/13,540.58 = 5,736.60/x
  3. Step 3: Cross multiply
    9,024.36x = 13,540.58 × 5,736.60
  4. Step 4: Simplify right side
    9,024.36x = 77,676,891.23
  5. Step 5: Solve for x
    x = 77,676,891.23/9,024.36
  6. Step 6: Final answer
    x = 8,607.47

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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.