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Finding the Fourth Proportional to 9,596.38, 14,394.57 and 5,489.50

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Solution

The fourth proportional to 9,596.38, 14,394.57 and 5,489.50 is: 8,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.38 : 14,394.57 = 5,489.50 : x
  2. Step 2: Convert to fraction form
    9,596.38/14,394.57 = 5,489.50/x
  3. Step 3: Cross multiply
    9,596.38x = 14,394.57 × 5,489.50
  4. Step 4: Simplify right side
    9,596.38x = 79,018,992.02
  5. Step 5: Solve for x
    x = 79,018,992.02/9,596.38
  6. Step 6: Final answer
    x = 8,234.25

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Similar ratio
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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.