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Finding the Fourth Proportional to 9,769.84, 14,658 and 6,495.82

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Solution

The fourth proportional to 9,769.84, 14,658 and 6,495.82 is: 9,745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.84 : 14,658 = 6,495.82 : x
  2. Step 2: Convert to fraction form
    9,769.84/14,658 = 6,495.82/x
  3. Step 3: Cross multiply
    9,769.84x = 14,658 × 6,495.82
  4. Step 4: Simplify right side
    9,769.84x = 95,215,729.56
  5. Step 5: Solve for x
    x = 95,215,729.56/9,769.84
  6. Step 6: Final answer
    x = 9,745.88

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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.