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Finding the Fourth Proportional to 9,892.71, 14,840.06 and 3,654.36

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Solution

The fourth proportional to 9,892.71, 14,840.06 and 3,654.36 is: 5,481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.71 : 14,840.06 = 3,654.36 : x
  2. Step 2: Convert to fraction form
    9,892.71/14,840.06 = 3,654.36/x
  3. Step 3: Cross multiply
    9,892.71x = 14,840.06 × 3,654.36
  4. Step 4: Simplify right side
    9,892.71x = 54,230,903.39
  5. Step 5: Solve for x
    x = 54,230,903.39/9,892.71
  6. Step 6: Final answer
    x = 5,481.91

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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.