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Finding the Fourth Proportional to 9,664.40, 14,467.80 and 9,094.80

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Solution

The fourth proportional to 9,664.40, 14,467.80 and 9,094.80 is: 13,615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.40 : 14,467.80 = 9,094.80 : x
  2. Step 2: Convert to fraction form
    9,664.40/14,467.80 = 9,094.80/x
  3. Step 3: Cross multiply
    9,664.40x = 14,467.80 × 9,094.80
  4. Step 4: Simplify right side
    9,664.40x = 131,581,747.44
  5. Step 5: Solve for x
    x = 131,581,747.44/9,664.40
  6. Step 6: Final answer
    x = 13,615.10

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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.