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Finding the Fourth Proportional to 6,835.45, 9,414.06 and 5,890.89

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Solution

The fourth proportional to 6,835.45, 9,414.06 and 5,890.89 is: 8,113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.45 : 9,414.06 = 5,890.89 : x
  2. Step 2: Convert to fraction form
    6,835.45/9,414.06 = 5,890.89/x
  3. Step 3: Cross multiply
    6,835.45x = 9,414.06 × 5,890.89
  4. Step 4: Simplify right side
    6,835.45x = 55,457,205.13
  5. Step 5: Solve for x
    x = 55,457,205.13/6,835.45
  6. Step 6: Final answer
    x = 8,113.18

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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.