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Finding the Fourth Proportional to 9,288.40, 12,817.72 and 6,139.12

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Solution

The fourth proportional to 9,288.40, 12,817.72 and 6,139.12 is: 8,471.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.40 : 12,817.72 = 6,139.12 : x
  2. Step 2: Convert to fraction form
    9,288.40/12,817.72 = 6,139.12/x
  3. Step 3: Cross multiply
    9,288.40x = 12,817.72 × 6,139.12
  4. Step 4: Simplify right side
    9,288.40x = 78,689,521.21
  5. Step 5: Solve for x
    x = 78,689,521.21/9,288.40
  6. Step 6: Final answer
    x = 8,471.81

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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.