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Finding the Fourth Proportional to 9,571.47, 14,357.21 and 2,997.69

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Solution

The fourth proportional to 9,571.47, 14,357.21 and 2,997.69 is: 4,496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.47 : 14,357.21 = 2,997.69 : x
  2. Step 2: Convert to fraction form
    9,571.47/14,357.21 = 2,997.69/x
  3. Step 3: Cross multiply
    9,571.47x = 14,357.21 × 2,997.69
  4. Step 4: Simplify right side
    9,571.47x = 43,038,449.86
  5. Step 5: Solve for x
    x = 43,038,449.86/9,571.47
  6. Step 6: Final answer
    x = 4,496.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.