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Finding the Fourth Proportional to 8,095.23, 12,122.19 and 6,454.17

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Solution

The fourth proportional to 8,095.23, 12,122.19 and 6,454.17 is: 9,664.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.23 : 12,122.19 = 6,454.17 : x
  2. Step 2: Convert to fraction form
    8,095.23/12,122.19 = 6,454.17/x
  3. Step 3: Cross multiply
    8,095.23x = 12,122.19 × 6,454.17
  4. Step 4: Simplify right side
    8,095.23x = 78,238,675.03
  5. Step 5: Solve for x
    x = 78,238,675.03/8,095.23
  6. Step 6: Final answer
    x = 9,664.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.