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Finding the Fourth Proportional to 9,382.94, 12,948.30 and 5,191.20

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Solution

The fourth proportional to 9,382.94, 12,948.30 and 5,191.20 is: 7,163.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.94 : 12,948.30 = 5,191.20 : x
  2. Step 2: Convert to fraction form
    9,382.94/12,948.30 = 5,191.20/x
  3. Step 3: Cross multiply
    9,382.94x = 12,948.30 × 5,191.20
  4. Step 4: Simplify right side
    9,382.94x = 67,217,214.96
  5. Step 5: Solve for x
    x = 67,217,214.96/9,382.94
  6. Step 6: Final answer
    x = 7,163.77

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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.