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Finding the Fourth Proportional to 9,571.32, 14,350.05 and 2,993.94

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Solution

The fourth proportional to 9,571.32, 14,350.05 and 2,993.94 is: 4,488.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.32 : 14,350.05 = 2,993.94 : x
  2. Step 2: Convert to fraction form
    9,571.32/14,350.05 = 2,993.94/x
  3. Step 3: Cross multiply
    9,571.32x = 14,350.05 × 2,993.94
  4. Step 4: Simplify right side
    9,571.32x = 42,963,188.70
  5. Step 5: Solve for x
    x = 42,963,188.70/9,571.32
  6. Step 6: Final answer
    x = 4,488.74

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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.