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Finding the Fourth Proportional to 9,626.70, 14,433.84 and 6,329.82

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Solution

The fourth proportional to 9,626.70, 14,433.84 and 6,329.82 is: 9,490.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.70 : 14,433.84 = 6,329.82 : x
  2. Step 2: Convert to fraction form
    9,626.70/14,433.84 = 6,329.82/x
  3. Step 3: Cross multiply
    9,626.70x = 14,433.84 × 6,329.82
  4. Step 4: Simplify right side
    9,626.70x = 91,363,609.11
  5. Step 5: Solve for x
    x = 91,363,609.11/9,626.70
  6. Step 6: Final answer
    x = 9,490.65

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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.