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Finding the Fourth Proportional to 9,033.81, 12,466.31 and 5,054.93

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Solution

The fourth proportional to 9,033.81, 12,466.31 and 5,054.93 is: 6,975.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,033.81 : 12,466.31 = 5,054.93 : x
  2. Step 2: Convert to fraction form
    9,033.81/12,466.31 = 5,054.93/x
  3. Step 3: Cross multiply
    9,033.81x = 12,466.31 × 5,054.93
  4. Step 4: Simplify right side
    9,033.81x = 63,016,324.41
  5. Step 5: Solve for x
    x = 63,016,324.41/9,033.81
  6. Step 6: Final answer
    x = 6,975.61

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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.