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Finding the Fourth Proportional to 9,764.68, 13,433.67 and 8,624.70

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Solution

The fourth proportional to 9,764.68, 13,433.67 and 8,624.70 is: 11,865.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.68 : 13,433.67 = 8,624.70 : x
  2. Step 2: Convert to fraction form
    9,764.68/13,433.67 = 8,624.70/x
  3. Step 3: Cross multiply
    9,764.68x = 13,433.67 × 8,624.70
  4. Step 4: Simplify right side
    9,764.68x = 115,861,373.65
  5. Step 5: Solve for x
    x = 115,861,373.65/9,764.68
  6. Step 6: Final answer
    x = 11,865.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.