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Finding the Fourth Proportional to 8,425.76, 11,623.14 and 6,834.26

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Solution

The fourth proportional to 8,425.76, 11,623.14 and 6,834.26 is: 9,427.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425.76 : 11,623.14 = 6,834.26 : x
  2. Step 2: Convert to fraction form
    8,425.76/11,623.14 = 6,834.26/x
  3. Step 3: Cross multiply
    8,425.76x = 11,623.14 × 6,834.26
  4. Step 4: Simplify right side
    8,425.76x = 79,435,560.78
  5. Step 5: Solve for x
    x = 79,435,560.78/8,425.76
  6. Step 6: Final answer
    x = 9,427.70

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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.