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Finding the Fourth Proportional to 9,033.62, 12,466.05 and 5,054.36

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Solution

The fourth proportional to 9,033.62, 12,466.05 and 5,054.36 is: 6,974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,033.62 : 12,466.05 = 5,054.36 : x
  2. Step 2: Convert to fraction form
    9,033.62/12,466.05 = 5,054.36/x
  3. Step 3: Cross multiply
    9,033.62x = 12,466.05 × 5,054.36
  4. Step 4: Simplify right side
    9,033.62x = 63,007,904.48
  5. Step 5: Solve for x
    x = 63,007,904.48/9,033.62
  6. Step 6: Final answer
    x = 6,974.82

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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.