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Finding the Fourth Proportional to 9,696.59, 13,381.30 and 5,504.84

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Solution

The fourth proportional to 9,696.59, 13,381.30 and 5,504.84 is: 7,596.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.59 : 13,381.30 = 5,504.84 : x
  2. Step 2: Convert to fraction form
    9,696.59/13,381.30 = 5,504.84/x
  3. Step 3: Cross multiply
    9,696.59x = 13,381.30 × 5,504.84
  4. Step 4: Simplify right side
    9,696.59x = 73,661,868.01
  5. Step 5: Solve for x
    x = 73,661,868.01/9,696.59
  6. Step 6: Final answer
    x = 7,596.68

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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.