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Finding the Fourth Proportional to 9,205.37, 12,698.34 and 6,225.38

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Solution

The fourth proportional to 9,205.37, 12,698.34 and 6,225.38 is: 8,587.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.37 : 12,698.34 = 6,225.38 : x
  2. Step 2: Convert to fraction form
    9,205.37/12,698.34 = 6,225.38/x
  3. Step 3: Cross multiply
    9,205.37x = 12,698.34 × 6,225.38
  4. Step 4: Simplify right side
    9,205.37x = 79,051,991.87
  5. Step 5: Solve for x
    x = 79,051,991.87/9,205.37
  6. Step 6: Final answer
    x = 8,587.60

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Why These Related Problems?

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