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Finding the Fourth Proportional to 9,636.72, 14,448.09 and 6,508.97

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Solution

The fourth proportional to 9,636.72, 14,448.09 and 6,508.97 is: 9,758.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.72 : 14,448.09 = 6,508.97 : x
  2. Step 2: Convert to fraction form
    9,636.72/14,448.09 = 6,508.97/x
  3. Step 3: Cross multiply
    9,636.72x = 14,448.09 × 6,508.97
  4. Step 4: Simplify right side
    9,636.72x = 94,042,235.37
  5. Step 5: Solve for x
    x = 94,042,235.37/9,636.72
  6. Step 6: Final answer
    x = 9,758.74

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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.