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Finding the Fourth Proportional to 9,571.10, 14,356.67 and 2,907.63

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Solution

The fourth proportional to 9,571.10, 14,356.67 and 2,907.63 is: 4,361.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.10 : 14,356.67 = 2,907.63 : x
  2. Step 2: Convert to fraction form
    9,571.10/14,356.67 = 2,907.63/x
  3. Step 3: Cross multiply
    9,571.10x = 14,356.67 × 2,907.63
  4. Step 4: Simplify right side
    9,571.10x = 41,743,869.85
  5. Step 5: Solve for x
    x = 41,743,869.85/9,571.10
  6. Step 6: Final answer
    x = 4,361.45

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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.