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Finding the Fourth Proportional to 9,184.50, 13,776.48 and 2,944.26

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Solution

The fourth proportional to 9,184.50, 13,776.48 and 2,944.26 is: 4,416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.50 : 13,776.48 = 2,944.26 : x
  2. Step 2: Convert to fraction form
    9,184.50/13,776.48 = 2,944.26/x
  3. Step 3: Cross multiply
    9,184.50x = 13,776.48 × 2,944.26
  4. Step 4: Simplify right side
    9,184.50x = 40,561,539.00
  5. Step 5: Solve for x
    x = 40,561,539.00/9,184.50
  6. Step 6: Final answer
    x = 4,416.30

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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.