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Finding the Fourth Proportional to 9,184.73, 12,674.68 and 5,206.01

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Solution

The fourth proportional to 9,184.73, 12,674.68 and 5,206.01 is: 7,184.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.73 : 12,674.68 = 5,206.01 : x
  2. Step 2: Convert to fraction form
    9,184.73/12,674.68 = 5,206.01/x
  3. Step 3: Cross multiply
    9,184.73x = 12,674.68 × 5,206.01
  4. Step 4: Simplify right side
    9,184.73x = 65,984,434.44
  5. Step 5: Solve for x
    x = 65,984,434.44/9,184.73
  6. Step 6: Final answer
    x = 7,184.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.