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Finding the Fourth Proportional to 9,651.31, 14,453.37 and 8,716.37

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Solution

The fourth proportional to 9,651.31, 14,453.37 and 8,716.37 is: 13,053.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.31 : 14,453.37 = 8,716.37 : x
  2. Step 2: Convert to fraction form
    9,651.31/14,453.37 = 8,716.37/x
  3. Step 3: Cross multiply
    9,651.31x = 14,453.37 × 8,716.37
  4. Step 4: Simplify right side
    9,651.31x = 125,980,848.40
  5. Step 5: Solve for x
    x = 125,980,848.40/9,651.31
  6. Step 6: Final answer
    x = 13,053.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.