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Finding the Fourth Proportional to 9,497.35, 14,246.63 and 3,653.96

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Solution

The fourth proportional to 9,497.35, 14,246.63 and 3,653.96 is: 5,481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.35 : 14,246.63 = 3,653.96 : x
  2. Step 2: Convert to fraction form
    9,497.35/14,246.63 = 3,653.96/x
  3. Step 3: Cross multiply
    9,497.35x = 14,246.63 × 3,653.96
  4. Step 4: Simplify right side
    9,497.35x = 52,056,540.35
  5. Step 5: Solve for x
    x = 52,056,540.35/9,497.35
  6. Step 6: Final answer
    x = 5,481.17

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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.