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Finding the Fourth Proportional to 9,993.60, 14,984.46 and 3,419.64

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Solution

The fourth proportional to 9,993.60, 14,984.46 and 3,419.64 is: 5,127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.60 : 14,984.46 = 3,419.64 : x
  2. Step 2: Convert to fraction form
    9,993.60/14,984.46 = 3,419.64/x
  3. Step 3: Cross multiply
    9,993.60x = 14,984.46 × 3,419.64
  4. Step 4: Simplify right side
    9,993.60x = 51,241,458.79
  5. Step 5: Solve for x
    x = 51,241,458.79/9,993.60
  6. Step 6: Final answer
    x = 5,127.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.