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Finding the Fourth Proportional to 9,658.40, 14,488.68 and 3,500.96

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Solution

The fourth proportional to 9,658.40, 14,488.68 and 3,500.96 is: 5,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.40 : 14,488.68 = 3,500.96 : x
  2. Step 2: Convert to fraction form
    9,658.40/14,488.68 = 3,500.96/x
  3. Step 3: Cross multiply
    9,658.40x = 14,488.68 × 3,500.96
  4. Step 4: Simplify right side
    9,658.40x = 50,724,289.13
  5. Step 5: Solve for x
    x = 50,724,289.13/9,658.40
  6. Step 6: Final answer
    x = 5,251.83

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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.