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Finding the Fourth Proportional to 9,189.89, 13,784.99 and 2,616.24

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Solution

The fourth proportional to 9,189.89, 13,784.99 and 2,616.24 is: 3,924.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.89 : 13,784.99 = 2,616.24 : x
  2. Step 2: Convert to fraction form
    9,189.89/13,784.99 = 2,616.24/x
  3. Step 3: Cross multiply
    9,189.89x = 13,784.99 × 2,616.24
  4. Step 4: Simplify right side
    9,189.89x = 36,064,829.16
  5. Step 5: Solve for x
    x = 36,064,829.16/9,189.89
  6. Step 6: Final answer
    x = 3,924.40

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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.