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Finding the Fourth Proportional to 9,571.24, 14,354.96 and 9,096.55

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Solution

The fourth proportional to 9,571.24, 14,354.96 and 9,096.55 is: 13,643.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.24 : 14,354.96 = 9,096.55 : x
  2. Step 2: Convert to fraction form
    9,571.24/14,354.96 = 9,096.55/x
  3. Step 3: Cross multiply
    9,571.24x = 14,354.96 × 9,096.55
  4. Step 4: Simplify right side
    9,571.24x = 130,580,692.31
  5. Step 5: Solve for x
    x = 130,580,692.31/9,571.24
  6. Step 6: Final answer
    x = 13,643.02

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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.