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Finding the Fourth Proportional to 9,725.43, 13,408.62 and 7,459.32

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Solution

The fourth proportional to 9,725.43, 13,408.62 and 7,459.32 is: 10,284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.43 : 13,408.62 = 7,459.32 : x
  2. Step 2: Convert to fraction form
    9,725.43/13,408.62 = 7,459.32/x
  3. Step 3: Cross multiply
    9,725.43x = 13,408.62 × 7,459.32
  4. Step 4: Simplify right side
    9,725.43x = 100,019,187.34
  5. Step 5: Solve for x
    x = 100,019,187.34/9,725.43
  6. Step 6: Final answer
    x = 10,284.29

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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.