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Finding the Fourth Proportional to 9,771.32, 14,656.78 and 2,375.82

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Solution

The fourth proportional to 9,771.32, 14,656.78 and 2,375.82 is: 3,563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.32 : 14,656.78 = 2,375.82 : x
  2. Step 2: Convert to fraction form
    9,771.32/14,656.78 = 2,375.82/x
  3. Step 3: Cross multiply
    9,771.32x = 14,656.78 × 2,375.82
  4. Step 4: Simplify right side
    9,771.32x = 34,821,871.06
  5. Step 5: Solve for x
    x = 34,821,871.06/9,771.32
  6. Step 6: Final answer
    x = 3,563.68

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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.