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Finding the Fourth Proportional to 9,532.42, 14,303.50 and 4,540.44

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Solution

The fourth proportional to 9,532.42, 14,303.50 and 4,540.44 is: 6,812.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.42 : 14,303.50 = 4,540.44 : x
  2. Step 2: Convert to fraction form
    9,532.42/14,303.50 = 4,540.44/x
  3. Step 3: Cross multiply
    9,532.42x = 14,303.50 × 4,540.44
  4. Step 4: Simplify right side
    9,532.42x = 64,944,183.54
  5. Step 5: Solve for x
    x = 64,944,183.54/9,532.42
  6. Step 6: Final answer
    x = 6,812.98

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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.