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Finding the Fourth Proportional to 9,916.89, 13,677.42 and 8,429.73

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Solution

The fourth proportional to 9,916.89, 13,677.42 and 8,429.73 is: 11,626.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.89 : 13,677.42 = 8,429.73 : x
  2. Step 2: Convert to fraction form
    9,916.89/13,677.42 = 8,429.73/x
  3. Step 3: Cross multiply
    9,916.89x = 13,677.42 × 8,429.73
  4. Step 4: Simplify right side
    9,916.89x = 115,296,957.70
  5. Step 5: Solve for x
    x = 115,296,957.70/9,916.89
  6. Step 6: Final answer
    x = 11,626.32

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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.