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Finding the Fourth Proportional to 9,497.57, 14,251.82 and 3,654.63

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Solution

The fourth proportional to 9,497.57, 14,251.82 and 3,654.63 is: 5,484.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.57 : 14,251.82 = 3,654.63 : x
  2. Step 2: Convert to fraction form
    9,497.57/14,251.82 = 3,654.63/x
  3. Step 3: Cross multiply
    9,497.57x = 14,251.82 × 3,654.63
  4. Step 4: Simplify right side
    9,497.57x = 52,085,110.65
  5. Step 5: Solve for x
    x = 52,085,110.65/9,497.57
  6. Step 6: Final answer
    x = 5,484.05

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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.