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Finding the Fourth Proportional to 9,571.56, 14,356.72 and 2,997.60

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Solution

The fourth proportional to 9,571.56, 14,356.72 and 2,997.60 is: 4,496.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.56 : 14,356.72 = 2,997.60 : x
  2. Step 2: Convert to fraction form
    9,571.56/14,356.72 = 2,997.60/x
  3. Step 3: Cross multiply
    9,571.56x = 14,356.72 × 2,997.60
  4. Step 4: Simplify right side
    9,571.56x = 43,035,703.87
  5. Step 5: Solve for x
    x = 43,035,703.87/9,571.56
  6. Step 6: Final answer
    x = 4,496.21

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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.