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Finding the Fourth Proportional to 9,892.02, 14,837.50 and 2,496.54

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Solution

The fourth proportional to 9,892.02, 14,837.50 and 2,496.54 is: 3,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.02 : 14,837.50 = 2,496.54 : x
  2. Step 2: Convert to fraction form
    9,892.02/14,837.50 = 2,496.54/x
  3. Step 3: Cross multiply
    9,892.02x = 14,837.50 × 2,496.54
  4. Step 4: Simplify right side
    9,892.02x = 37,042,449.34
  5. Step 5: Solve for x
    x = 37,042,449.34/9,892.02
  6. Step 6: Final answer
    x = 3,744.68

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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.