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Finding the Fourth Proportional to 9,571.59, 13,208.14 and 5,796.85

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Solution

The fourth proportional to 9,571.59, 13,208.14 and 5,796.85 is: 7,999.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.59 : 13,208.14 = 5,796.85 : x
  2. Step 2: Convert to fraction form
    9,571.59/13,208.14 = 5,796.85/x
  3. Step 3: Cross multiply
    9,571.59x = 13,208.14 × 5,796.85
  4. Step 4: Simplify right side
    9,571.59x = 76,565,613.61
  5. Step 5: Solve for x
    x = 76,565,613.61/9,571.59
  6. Step 6: Final answer
    x = 7,999.26

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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.