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Finding the Fourth Proportional to 9,716.34, 13,429.26 and 8,564.52

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Solution

The fourth proportional to 9,716.34, 13,429.26 and 8,564.52 is: 11,837.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.34 : 13,429.26 = 8,564.52 : x
  2. Step 2: Convert to fraction form
    9,716.34/13,429.26 = 8,564.52/x
  3. Step 3: Cross multiply
    9,716.34x = 13,429.26 × 8,564.52
  4. Step 4: Simplify right side
    9,716.34x = 115,015,165.86
  5. Step 5: Solve for x
    x = 115,015,165.86/9,716.34
  6. Step 6: Final answer
    x = 11,837.29

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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.