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Finding the Fourth Proportional to 9,916.22, 13,686.82 and 6,734.82

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Solution

The fourth proportional to 9,916.22, 13,686.82 and 6,734.82 is: 9,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.22 : 13,686.82 = 6,734.82 : x
  2. Step 2: Convert to fraction form
    9,916.22/13,686.82 = 6,734.82/x
  3. Step 3: Cross multiply
    9,916.22x = 13,686.82 × 6,734.82
  4. Step 4: Simplify right side
    9,916.22x = 92,178,269.07
  5. Step 5: Solve for x
    x = 92,178,269.07/9,916.22
  6. Step 6: Final answer
    x = 9,295.71

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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.