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Finding the Fourth Proportional to 9,586.35, 13,220.42 and 6,043.41

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Solution

The fourth proportional to 9,586.35, 13,220.42 and 6,043.41 is: 8,334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.35 : 13,220.42 = 6,043.41 : x
  2. Step 2: Convert to fraction form
    9,586.35/13,220.42 = 6,043.41/x
  3. Step 3: Cross multiply
    9,586.35x = 13,220.42 × 6,043.41
  4. Step 4: Simplify right side
    9,586.35x = 79,896,388.22
  5. Step 5: Solve for x
    x = 79,896,388.22/9,586.35
  6. Step 6: Final answer
    x = 8,334.39

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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.