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Finding the Fourth Proportional to 9,184.84, 13,769.17 and 3,642.08

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Solution

The fourth proportional to 9,184.84, 13,769.17 and 3,642.08 is: 5,459.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.84 : 13,769.17 = 3,642.08 : x
  2. Step 2: Convert to fraction form
    9,184.84/13,769.17 = 3,642.08/x
  3. Step 3: Cross multiply
    9,184.84x = 13,769.17 × 3,642.08
  4. Step 4: Simplify right side
    9,184.84x = 50,148,340.72
  5. Step 5: Solve for x
    x = 50,148,340.72/9,184.84
  6. Step 6: Final answer
    x = 5,459.91

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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.