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Finding the Fourth Proportional to 9,658.20, 14,488.38 and 3,082.08

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Solution

The fourth proportional to 9,658.20, 14,488.38 and 3,082.08 is: 4,623.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.20 : 14,488.38 = 3,082.08 : x
  2. Step 2: Convert to fraction form
    9,658.20/14,488.38 = 3,082.08/x
  3. Step 3: Cross multiply
    9,658.20x = 14,488.38 × 3,082.08
  4. Step 4: Simplify right side
    9,658.20x = 44,654,346.23
  5. Step 5: Solve for x
    x = 44,654,346.23/9,658.20
  6. Step 6: Final answer
    x = 4,623.46

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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.