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Finding the Fourth Proportional to 9,386.08, 12,952.79 and 5,849.30

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Solution

The fourth proportional to 9,386.08, 12,952.79 and 5,849.30 is: 8,072.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.08 : 12,952.79 = 5,849.30 : x
  2. Step 2: Convert to fraction form
    9,386.08/12,952.79 = 5,849.30/x
  3. Step 3: Cross multiply
    9,386.08x = 12,952.79 × 5,849.30
  4. Step 4: Simplify right side
    9,386.08x = 75,764,754.55
  5. Step 5: Solve for x
    x = 75,764,754.55/9,386.08
  6. Step 6: Final answer
    x = 8,072.03

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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.