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Finding the Fourth Proportional to 9,696.94, 13,382.19 and 5,505.58

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Solution

The fourth proportional to 9,696.94, 13,382.19 and 5,505.58 is: 7,597.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.94 : 13,382.19 = 5,505.58 : x
  2. Step 2: Convert to fraction form
    9,696.94/13,382.19 = 5,505.58/x
  3. Step 3: Cross multiply
    9,696.94x = 13,382.19 × 5,505.58
  4. Step 4: Simplify right side
    9,696.94x = 73,676,717.62
  5. Step 5: Solve for x
    x = 73,676,717.62/9,696.94
  6. Step 6: Final answer
    x = 7,597.93

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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.