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Finding the Fourth Proportional to 9,003.84, 12,418.16 and 5,466.98

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Solution

The fourth proportional to 9,003.84, 12,418.16 and 5,466.98 is: 7,540.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,003.84 : 12,418.16 = 5,466.98 : x
  2. Step 2: Convert to fraction form
    9,003.84/12,418.16 = 5,466.98/x
  3. Step 3: Cross multiply
    9,003.84x = 12,418.16 × 5,466.98
  4. Step 4: Simplify right side
    9,003.84x = 67,889,742.93
  5. Step 5: Solve for x
    x = 67,889,742.93/9,003.84
  6. Step 6: Final answer
    x = 7,540.09

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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.