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Finding the Fourth Proportional to 9,185.51, 13,771.69 and 3,848.49

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Solution

The fourth proportional to 9,185.51, 13,771.69 and 3,848.49 is: 5,769.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.51 : 13,771.69 = 3,848.49 : x
  2. Step 2: Convert to fraction form
    9,185.51/13,771.69 = 3,848.49/x
  3. Step 3: Cross multiply
    9,185.51x = 13,771.69 × 3,848.49
  4. Step 4: Simplify right side
    9,185.51x = 53,000,201.63
  5. Step 5: Solve for x
    x = 53,000,201.63/9,185.51
  6. Step 6: Final answer
    x = 5,769.98

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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.