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Finding the Fourth Proportional to 9,369.92, 12,927.39 and 6,184.80

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Solution

The fourth proportional to 9,369.92, 12,927.39 and 6,184.80 is: 8,532.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,369.92 : 12,927.39 = 6,184.80 : x
  2. Step 2: Convert to fraction form
    9,369.92/12,927.39 = 6,184.80/x
  3. Step 3: Cross multiply
    9,369.92x = 12,927.39 × 6,184.80
  4. Step 4: Simplify right side
    9,369.92x = 79,953,321.67
  5. Step 5: Solve for x
    x = 79,953,321.67/9,369.92
  6. Step 6: Final answer
    x = 8,532.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.