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Finding the Fourth Proportional to 9,399.50, 12,970.75 and 5,149.71

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Solution

The fourth proportional to 9,399.50, 12,970.75 and 5,149.71 is: 7,106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.50 : 12,970.75 = 5,149.71 : x
  2. Step 2: Convert to fraction form
    9,399.50/12,970.75 = 5,149.71/x
  3. Step 3: Cross multiply
    9,399.50x = 12,970.75 × 5,149.71
  4. Step 4: Simplify right side
    9,399.50x = 66,795,600.98
  5. Step 5: Solve for x
    x = 66,795,600.98/9,399.50
  6. Step 6: Final answer
    x = 7,106.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.