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Finding the Fourth Proportional to 9,893.11, 13,652.34 and 5,416.78

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Solution

The fourth proportional to 9,893.11, 13,652.34 and 5,416.78 is: 7,475.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.11 : 13,652.34 = 5,416.78 : x
  2. Step 2: Convert to fraction form
    9,893.11/13,652.34 = 5,416.78/x
  3. Step 3: Cross multiply
    9,893.11x = 13,652.34 × 5,416.78
  4. Step 4: Simplify right side
    9,893.11x = 73,951,722.27
  5. Step 5: Solve for x
    x = 73,951,722.27/9,893.11
  6. Step 6: Final answer
    x = 7,475.07

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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.