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Finding the Fourth Proportional to 9,399.53, 12,970.85 and 5,149.80

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Solution

The fourth proportional to 9,399.53, 12,970.85 and 5,149.80 is: 7,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.53 : 12,970.85 = 5,149.80 : x
  2. Step 2: Convert to fraction form
    9,399.53/12,970.85 = 5,149.80/x
  3. Step 3: Cross multiply
    9,399.53x = 12,970.85 × 5,149.80
  4. Step 4: Simplify right side
    9,399.53x = 66,797,283.33
  5. Step 5: Solve for x
    x = 66,797,283.33/9,399.53
  6. Step 6: Final answer
    x = 7,106.45

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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.