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Finding the Fourth Proportional to 10,172.70, 15,261.80 and 9,196.75

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Solution

The fourth proportional to 10,172.70, 15,261.80 and 9,196.75 is: 13,797.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.70 : 15,261.80 = 9,196.75 : x
  2. Step 2: Convert to fraction form
    10,172.70/15,261.80 = 9,196.75/x
  3. Step 3: Cross multiply
    10,172.70x = 15,261.80 × 9,196.75
  4. Step 4: Simplify right side
    10,172.70x = 140,358,959.15
  5. Step 5: Solve for x
    x = 140,358,959.15/10,172.70
  6. Step 6: Final answer
    x = 13,797.61

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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.