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Finding the Fourth Proportional to 9,612.81, 13,258.22 and 6,074.73

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Solution

The fourth proportional to 9,612.81, 13,258.22 and 6,074.73 is: 8,378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.81 : 13,258.22 = 6,074.73 : x
  2. Step 2: Convert to fraction form
    9,612.81/13,258.22 = 6,074.73/x
  3. Step 3: Cross multiply
    9,612.81x = 13,258.22 × 6,074.73
  4. Step 4: Simplify right side
    9,612.81x = 80,540,076.41
  5. Step 5: Solve for x
    x = 80,540,076.41/9,612.81
  6. Step 6: Final answer
    x = 8,378.41

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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.