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Finding the Fourth Proportional to 9,769.35, 14,633.28 and 4,508.67

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Solution

The fourth proportional to 9,769.35, 14,633.28 and 4,508.67 is: 6,753.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.35 : 14,633.28 = 4,508.67 : x
  2. Step 2: Convert to fraction form
    9,769.35/14,633.28 = 4,508.67/x
  3. Step 3: Cross multiply
    9,769.35x = 14,633.28 × 4,508.67
  4. Step 4: Simplify right side
    9,769.35x = 65,976,630.54
  5. Step 5: Solve for x
    x = 65,976,630.54/9,769.35
  6. Step 6: Final answer
    x = 6,753.43

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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.