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Finding the Fourth Proportional to 9,776.68, 14,659.72 and 3,448.38

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Solution

The fourth proportional to 9,776.68, 14,659.72 and 3,448.38 is: 5,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.68 : 14,659.72 = 3,448.38 : x
  2. Step 2: Convert to fraction form
    9,776.68/14,659.72 = 3,448.38/x
  3. Step 3: Cross multiply
    9,776.68x = 14,659.72 × 3,448.38
  4. Step 4: Simplify right side
    9,776.68x = 50,552,331.61
  5. Step 5: Solve for x
    x = 50,552,331.61/9,776.68
  6. Step 6: Final answer
    x = 5,170.71

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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.