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Finding the Fourth Proportional to 9,771.08, 14,656.48 and 2,375.52

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Solution

The fourth proportional to 9,771.08, 14,656.48 and 2,375.52 is: 3,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.08 : 14,656.48 = 2,375.52 : x
  2. Step 2: Convert to fraction form
    9,771.08/14,656.48 = 2,375.52/x
  3. Step 3: Cross multiply
    9,771.08x = 14,656.48 × 2,375.52
  4. Step 4: Simplify right side
    9,771.08x = 34,816,761.37
  5. Step 5: Solve for x
    x = 34,816,761.37/9,771.08
  6. Step 6: Final answer
    x = 3,563.25

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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.