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Finding the Fourth Proportional to 9,378.50, 14,063.65 and 4,449.55

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Solution

The fourth proportional to 9,378.50, 14,063.65 and 4,449.55 is: 6,672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.50 : 14,063.65 = 4,449.55 : x
  2. Step 2: Convert to fraction form
    9,378.50/14,063.65 = 4,449.55/x
  3. Step 3: Cross multiply
    9,378.50x = 14,063.65 × 4,449.55
  4. Step 4: Simplify right side
    9,378.50x = 62,576,884.26
  5. Step 5: Solve for x
    x = 62,576,884.26/9,378.50
  6. Step 6: Final answer
    x = 6,672.37

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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.