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Finding the Fourth Proportional to 9,571.86, 13,208.46 and 5,380.74

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Solution

The fourth proportional to 9,571.86, 13,208.46 and 5,380.74 is: 7,425.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.86 : 13,208.46 = 5,380.74 : x
  2. Step 2: Convert to fraction form
    9,571.86/13,208.46 = 5,380.74/x
  3. Step 3: Cross multiply
    9,571.86x = 13,208.46 × 5,380.74
  4. Step 4: Simplify right side
    9,571.86x = 71,071,289.06
  5. Step 5: Solve for x
    x = 71,071,289.06/9,571.86
  6. Step 6: Final answer
    x = 7,425.02

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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.