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Finding the Fourth Proportional to 9,321.74, 14,002.05 and 5,433.74

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Solution

The fourth proportional to 9,321.74, 14,002.05 and 5,433.74 is: 8,161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.74 : 14,002.05 = 5,433.74 : x
  2. Step 2: Convert to fraction form
    9,321.74/14,002.05 = 5,433.74/x
  3. Step 3: Cross multiply
    9,321.74x = 14,002.05 × 5,433.74
  4. Step 4: Simplify right side
    9,321.74x = 76,083,499.17
  5. Step 5: Solve for x
    x = 76,083,499.17/9,321.74
  6. Step 6: Final answer
    x = 8,161.94

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1.5x scale

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.