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Finding the Fourth Proportional to 9,796.55, 13,513.07 and 5,814.86

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Solution

The fourth proportional to 9,796.55, 13,513.07 and 5,814.86 is: 8,020.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.55 : 13,513.07 = 5,814.86 : x
  2. Step 2: Convert to fraction form
    9,796.55/13,513.07 = 5,814.86/x
  3. Step 3: Cross multiply
    9,796.55x = 13,513.07 × 5,814.86
  4. Step 4: Simplify right side
    9,796.55x = 78,576,557.19
  5. Step 5: Solve for x
    x = 78,576,557.19/9,796.55
  6. Step 6: Final answer
    x = 8,020.84

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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.