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Finding the Fourth Proportional to 9,204.98, 13,809.18 and 8,370.32

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Solution

The fourth proportional to 9,204.98, 13,809.18 and 8,370.32 is: 12,557.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.98 : 13,809.18 = 8,370.32 : x
  2. Step 2: Convert to fraction form
    9,204.98/13,809.18 = 8,370.32/x
  3. Step 3: Cross multiply
    9,204.98x = 13,809.18 × 8,370.32
  4. Step 4: Simplify right side
    9,204.98x = 115,587,255.54
  5. Step 5: Solve for x
    x = 115,587,255.54/9,204.98
  6. Step 6: Final answer
    x = 12,557.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.