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Finding the Fourth Proportional to 9,469.84, 14,205.36 and 4,525.84

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Solution

The fourth proportional to 9,469.84, 14,205.36 and 4,525.84 is: 6,789.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.84 : 14,205.36 = 4,525.84 : x
  2. Step 2: Convert to fraction form
    9,469.84/14,205.36 = 4,525.84/x
  3. Step 3: Cross multiply
    9,469.84x = 14,205.36 × 4,525.84
  4. Step 4: Simplify right side
    9,469.84x = 64,291,186.50
  5. Step 5: Solve for x
    x = 64,291,186.50/9,469.84
  6. Step 6: Final answer
    x = 6,789.05

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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.