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Finding the Fourth Proportional to 9,497.68, 14,251.62 and 3,954.86

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Solution

The fourth proportional to 9,497.68, 14,251.62 and 3,954.86 is: 5,934.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.68 : 14,251.62 = 3,954.86 : x
  2. Step 2: Convert to fraction form
    9,497.68/14,251.62 = 3,954.86/x
  3. Step 3: Cross multiply
    9,497.68x = 14,251.62 × 3,954.86
  4. Step 4: Simplify right side
    9,497.68x = 56,363,161.87
  5. Step 5: Solve for x
    x = 56,363,161.87/9,497.68
  6. Step 6: Final answer
    x = 5,934.41

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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.