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Finding the Fourth Proportional to 9,893.24, 13,652.90 and 5,416.97

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Solution

The fourth proportional to 9,893.24, 13,652.90 and 5,416.97 is: 7,475.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.24 : 13,652.90 = 5,416.97 : x
  2. Step 2: Convert to fraction form
    9,893.24/13,652.90 = 5,416.97/x
  3. Step 3: Cross multiply
    9,893.24x = 13,652.90 × 5,416.97
  4. Step 4: Simplify right side
    9,893.24x = 73,957,349.71
  5. Step 5: Solve for x
    x = 73,957,349.71/9,893.24
  6. Step 6: Final answer
    x = 7,475.54

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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.