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Finding the Fourth Proportional to 9,199.98, 13,801.68 and 8,365.32

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Solution

The fourth proportional to 9,199.98, 13,801.68 and 8,365.32 is: 12,549.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.98 : 13,801.68 = 8,365.32 : x
  2. Step 2: Convert to fraction form
    9,199.98/13,801.68 = 8,365.32/x
  3. Step 3: Cross multiply
    9,199.98x = 13,801.68 × 8,365.32
  4. Step 4: Simplify right side
    9,199.98x = 115,455,469.74
  5. Step 5: Solve for x
    x = 115,455,469.74/9,199.98
  6. Step 6: Final answer
    x = 12,549.53

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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.