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Finding the Fourth Proportional to 9,497.85, 14,247.38 and 3,654.46

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Solution

The fourth proportional to 9,497.85, 14,247.38 and 3,654.46 is: 5,481.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.85 : 14,247.38 = 3,654.46 : x
  2. Step 2: Convert to fraction form
    9,497.85/14,247.38 = 3,654.46/x
  3. Step 3: Cross multiply
    9,497.85x = 14,247.38 × 3,654.46
  4. Step 4: Simplify right side
    9,497.85x = 52,066,409.08
  5. Step 5: Solve for x
    x = 52,066,409.08/9,497.85
  6. Step 6: Final answer
    x = 5,481.92

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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.