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Finding the Fourth Proportional to 9,970.89, 13,744.72 and 8,199.42

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Solution

The fourth proportional to 9,970.89, 13,744.72 and 8,199.42 is: 11,302.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.89 : 13,744.72 = 8,199.42 : x
  2. Step 2: Convert to fraction form
    9,970.89/13,744.72 = 8,199.42/x
  3. Step 3: Cross multiply
    9,970.89x = 13,744.72 × 8,199.42
  4. Step 4: Simplify right side
    9,970.89x = 112,698,732.06
  5. Step 5: Solve for x
    x = 112,698,732.06/9,970.89
  6. Step 6: Final answer
    x = 11,302.78

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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.