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Finding the Fourth Proportional to 9,588.84, 14,367.03 and 6,082.80

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Solution

The fourth proportional to 9,588.84, 14,367.03 and 6,082.80 is: 9,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.84 : 14,367.03 = 6,082.80 : x
  2. Step 2: Convert to fraction form
    9,588.84/14,367.03 = 6,082.80/x
  3. Step 3: Cross multiply
    9,588.84x = 14,367.03 × 6,082.80
  4. Step 4: Simplify right side
    9,588.84x = 87,391,770.08
  5. Step 5: Solve for x
    x = 87,391,770.08/9,588.84
  6. Step 6: Final answer
    x = 9,113.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.