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Finding the Fourth Proportional to 9,674.51, 13,351.77 and 5,696.87

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Solution

The fourth proportional to 9,674.51, 13,351.77 and 5,696.87 is: 7,862.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.51 : 13,351.77 = 5,696.87 : x
  2. Step 2: Convert to fraction form
    9,674.51/13,351.77 = 5,696.87/x
  3. Step 3: Cross multiply
    9,674.51x = 13,351.77 × 5,696.87
  4. Step 4: Simplify right side
    9,674.51x = 76,063,231.20
  5. Step 5: Solve for x
    x = 76,063,231.20/9,674.51
  6. Step 6: Final answer
    x = 7,862.23

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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.