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Finding the Fourth Proportional to 9,375.60, 14,034.60 and 8,338.80

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Solution

The fourth proportional to 9,375.60, 14,034.60 and 8,338.80 is: 12,482.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375.60 : 14,034.60 = 8,338.80 : x
  2. Step 2: Convert to fraction form
    9,375.60/14,034.60 = 8,338.80/x
  3. Step 3: Cross multiply
    9,375.60x = 14,034.60 × 8,338.80
  4. Step 4: Simplify right side
    9,375.60x = 117,031,722.48
  5. Step 5: Solve for x
    x = 117,031,722.48/9,375.60
  6. Step 6: Final answer
    x = 12,482.58

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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.