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Finding the Fourth Proportional to 9,696.51, 13,381.07 and 5,504.49

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Solution

The fourth proportional to 9,696.51, 13,381.07 and 5,504.49 is: 7,596.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.51 : 13,381.07 = 5,504.49 : x
  2. Step 2: Convert to fraction form
    9,696.51/13,381.07 = 5,504.49/x
  3. Step 3: Cross multiply
    9,696.51x = 13,381.07 × 5,504.49
  4. Step 4: Simplify right side
    9,696.51x = 73,655,938.48
  5. Step 5: Solve for x
    x = 73,655,938.48/9,696.51
  6. Step 6: Final answer
    x = 7,596.13

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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.