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Finding the Fourth Proportional to 9,290.70, 12,821.76 and 6,141.42

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Solution

The fourth proportional to 9,290.70, 12,821.76 and 6,141.42 is: 8,475.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.70 : 12,821.76 = 6,141.42 : x
  2. Step 2: Convert to fraction form
    9,290.70/12,821.76 = 6,141.42/x
  3. Step 3: Cross multiply
    9,290.70x = 12,821.76 × 6,141.42
  4. Step 4: Simplify right side
    9,290.70x = 78,743,813.30
  5. Step 5: Solve for x
    x = 78,743,813.30/9,290.70
  6. Step 6: Final answer
    x = 8,475.55

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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.