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Finding the Fourth Proportional to 9,685.68, 13,355.56 and 6,696.32

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Solution

The fourth proportional to 9,685.68, 13,355.56 and 6,696.32 is: 9,233.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.68 : 13,355.56 = 6,696.32 : x
  2. Step 2: Convert to fraction form
    9,685.68/13,355.56 = 6,696.32/x
  3. Step 3: Cross multiply
    9,685.68x = 13,355.56 × 6,696.32
  4. Step 4: Simplify right side
    9,685.68x = 89,433,103.54
  5. Step 5: Solve for x
    x = 89,433,103.54/9,685.68
  6. Step 6: Final answer
    x = 9,233.54

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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.