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Finding the Fourth Proportional to 9,725.68, 13,399.32 and 9,069.04

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Solution

The fourth proportional to 9,725.68, 13,399.32 and 9,069.04 is: 12,494.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.68 : 13,399.32 = 9,069.04 : x
  2. Step 2: Convert to fraction form
    9,725.68/13,399.32 = 9,069.04/x
  3. Step 3: Cross multiply
    9,725.68x = 13,399.32 × 9,069.04
  4. Step 4: Simplify right side
    9,725.68x = 121,518,969.05
  5. Step 5: Solve for x
    x = 121,518,969.05/9,725.68
  6. Step 6: Final answer
    x = 12,494.65

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