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Finding the Fourth Proportional to 9,696.44, 13,381.50 and 5,505.08

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Solution

The fourth proportional to 9,696.44, 13,381.50 and 5,505.08 is: 7,597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.44 : 13,381.50 = 5,505.08 : x
  2. Step 2: Convert to fraction form
    9,696.44/13,381.50 = 5,505.08/x
  3. Step 3: Cross multiply
    9,696.44x = 13,381.50 × 5,505.08
  4. Step 4: Simplify right side
    9,696.44x = 73,666,228.02
  5. Step 5: Solve for x
    x = 73,666,228.02/9,696.44
  6. Step 6: Final answer
    x = 7,597.24

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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.