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Finding the Fourth Proportional to 9,571.30, 14,357.59 and 4,019.09

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Solution

The fourth proportional to 9,571.30, 14,357.59 and 4,019.09 is: 6,028.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.30 : 14,357.59 = 4,019.09 : x
  2. Step 2: Convert to fraction form
    9,571.30/14,357.59 = 4,019.09/x
  3. Step 3: Cross multiply
    9,571.30x = 14,357.59 × 4,019.09
  4. Step 4: Simplify right side
    9,571.30x = 57,704,364.56
  5. Step 5: Solve for x
    x = 57,704,364.56/9,571.30
  6. Step 6: Final answer
    x = 6,028.90

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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.