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Finding the Fourth Proportional to 9,653.27, 14,481.62 and 3,416.90

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Solution

The fourth proportional to 9,653.27, 14,481.62 and 3,416.90 is: 5,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.27 : 14,481.62 = 3,416.90 : x
  2. Step 2: Convert to fraction form
    9,653.27/14,481.62 = 3,416.90/x
  3. Step 3: Cross multiply
    9,653.27x = 14,481.62 × 3,416.90
  4. Step 4: Simplify right side
    9,653.27x = 49,482,157.89
  5. Step 5: Solve for x
    x = 49,482,157.89/9,653.27
  6. Step 6: Final answer
    x = 5,125.95

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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.