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Finding the Fourth Proportional to 9,684.36, 14,544.36 and 5,994

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Solution

The fourth proportional to 9,684.36, 14,544.36 and 5,994 is: 9,002.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.36 : 14,544.36 = 5,994 : x
  2. Step 2: Convert to fraction form
    9,684.36/14,544.36 = 5,994/x
  3. Step 3: Cross multiply
    9,684.36x = 14,544.36 × 5,994
  4. Step 4: Simplify right side
    9,684.36x = 87,178,893.84
  5. Step 5: Solve for x
    x = 87,178,893.84/9,684.36
  6. Step 6: Final answer
    x = 9,002.03

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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.