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Finding the Fourth Proportional to 9,824.22, 13,562.28 and 6,696.81

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Solution

The fourth proportional to 9,824.22, 13,562.28 and 6,696.81 is: 9,244.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.22 : 13,562.28 = 6,696.81 : x
  2. Step 2: Convert to fraction form
    9,824.22/13,562.28 = 6,696.81/x
  3. Step 3: Cross multiply
    9,824.22x = 13,562.28 × 6,696.81
  4. Step 4: Simplify right side
    9,824.22x = 90,824,012.33
  5. Step 5: Solve for x
    x = 90,824,012.33/9,824.22
  6. Step 6: Final answer
    x = 9,244.91

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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.