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Finding the Fourth Proportional to 9,684.23, 14,507.31 and 6,387.26

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Solution

The fourth proportional to 9,684.23, 14,507.31 and 6,387.26 is: 9,568.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.23 : 14,507.31 = 6,387.26 : x
  2. Step 2: Convert to fraction form
    9,684.23/14,507.31 = 6,387.26/x
  3. Step 3: Cross multiply
    9,684.23x = 14,507.31 × 6,387.26
  4. Step 4: Simplify right side
    9,684.23x = 92,661,960.87
  5. Step 5: Solve for x
    x = 92,661,960.87/9,684.23
  6. Step 6: Final answer
    x = 9,568.34

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