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Finding the Fourth Proportional to 9,185.64, 13,770.68 and 3,642.90

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Solution

The fourth proportional to 9,185.64, 13,770.68 and 3,642.90 is: 5,461.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.64 : 13,770.68 = 3,642.90 : x
  2. Step 2: Convert to fraction form
    9,185.64/13,770.68 = 3,642.90/x
  3. Step 3: Cross multiply
    9,185.64x = 13,770.68 × 3,642.90
  4. Step 4: Simplify right side
    9,185.64x = 50,165,191.96
  5. Step 5: Solve for x
    x = 50,165,191.96/9,185.64
  6. Step 6: Final answer
    x = 5,461.26

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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.