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Finding the Fourth Proportional to 9,716.74, 13,407.87 and 5,525.08

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Solution

The fourth proportional to 9,716.74, 13,407.87 and 5,525.08 is: 7,623.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.74 : 13,407.87 = 5,525.08 : x
  2. Step 2: Convert to fraction form
    9,716.74/13,407.87 = 5,525.08/x
  3. Step 3: Cross multiply
    9,716.74x = 13,407.87 × 5,525.08
  4. Step 4: Simplify right side
    9,716.74x = 74,079,554.38
  5. Step 5: Solve for x
    x = 74,079,554.38/9,716.74
  6. Step 6: Final answer
    x = 7,623.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.