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Finding the Fourth Proportional to 9,568.26, 14,316.32 and 8,597.07

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Solution

The fourth proportional to 9,568.26, 14,316.32 and 8,597.07 is: 12,863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.26 : 14,316.32 = 8,597.07 : x
  2. Step 2: Convert to fraction form
    9,568.26/14,316.32 = 8,597.07/x
  3. Step 3: Cross multiply
    9,568.26x = 14,316.32 × 8,597.07
  4. Step 4: Simplify right side
    9,568.26x = 123,078,426.68
  5. Step 5: Solve for x
    x = 123,078,426.68/9,568.26
  6. Step 6: Final answer
    x = 12,863.20

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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.