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Finding the Fourth Proportional to 9,327.84, 12,868.34 and 6,137.03

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Solution

The fourth proportional to 9,327.84, 12,868.34 and 6,137.03 is: 8,466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,327.84 : 12,868.34 = 6,137.03 : x
  2. Step 2: Convert to fraction form
    9,327.84/12,868.34 = 6,137.03/x
  3. Step 3: Cross multiply
    9,327.84x = 12,868.34 × 6,137.03
  4. Step 4: Simplify right side
    9,327.84x = 78,973,390.12
  5. Step 5: Solve for x
    x = 78,973,390.12/9,327.84
  6. Step 6: Final answer
    x = 8,466.42

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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.