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Finding the Fourth Proportional to 9,667.65, 14,494.38 and 3,090.05

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Solution

The fourth proportional to 9,667.65, 14,494.38 and 3,090.05 is: 4,632.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.65 : 14,494.38 = 3,090.05 : x
  2. Step 2: Convert to fraction form
    9,667.65/14,494.38 = 3,090.05/x
  3. Step 3: Cross multiply
    9,667.65x = 14,494.38 × 3,090.05
  4. Step 4: Simplify right side
    9,667.65x = 44,788,286.45
  5. Step 5: Solve for x
    x = 44,788,286.45/9,667.65
  6. Step 6: Final answer
    x = 4,632.80

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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.