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Finding the Fourth Proportional to 9,232.74, 12,736.44 and 5,693.58

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Solution

The fourth proportional to 9,232.74, 12,736.44 and 5,693.58 is: 7,854.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.74 : 12,736.44 = 5,693.58 : x
  2. Step 2: Convert to fraction form
    9,232.74/12,736.44 = 5,693.58/x
  3. Step 3: Cross multiply
    9,232.74x = 12,736.44 × 5,693.58
  4. Step 4: Simplify right side
    9,232.74x = 72,515,940.06
  5. Step 5: Solve for x
    x = 72,515,940.06/9,232.74
  6. Step 6: Final answer
    x = 7,854.22

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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.