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Finding the Fourth Proportional to 9,033.76, 12,466.61 and 5,054.94

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Solution

The fourth proportional to 9,033.76, 12,466.61 and 5,054.94 is: 6,975.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,033.76 : 12,466.61 = 5,054.94 : x
  2. Step 2: Convert to fraction form
    9,033.76/12,466.61 = 5,054.94/x
  3. Step 3: Cross multiply
    9,033.76x = 12,466.61 × 5,054.94
  4. Step 4: Simplify right side
    9,033.76x = 63,017,959.23
  5. Step 5: Solve for x
    x = 63,017,959.23/9,033.76
  6. Step 6: Final answer
    x = 6,975.83

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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.