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Finding the Fourth Proportional to 9,647.96, 14,476.46 and 3,412.68

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Solution

The fourth proportional to 9,647.96, 14,476.46 and 3,412.68 is: 5,120.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.96 : 14,476.46 = 3,412.68 : x
  2. Step 2: Convert to fraction form
    9,647.96/14,476.46 = 3,412.68/x
  3. Step 3: Cross multiply
    9,647.96x = 14,476.46 × 3,412.68
  4. Step 4: Simplify right side
    9,647.96x = 49,403,454.16
  5. Step 5: Solve for x
    x = 49,403,454.16/9,647.96
  6. Step 6: Final answer
    x = 5,120.61

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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.