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Finding the Fourth Proportional to 10,171.33, 15,214.87 and 9,549.25

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Solution

The fourth proportional to 10,171.33, 15,214.87 and 9,549.25 is: 14,284.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.33 : 15,214.87 = 9,549.25 : x
  2. Step 2: Convert to fraction form
    10,171.33/15,214.87 = 9,549.25/x
  3. Step 3: Cross multiply
    10,171.33x = 15,214.87 × 9,549.25
  4. Step 4: Simplify right side
    10,171.33x = 145,290,597.35
  5. Step 5: Solve for x
    x = 145,290,597.35/10,171.33
  6. Step 6: Final answer
    x = 14,284.33

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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.