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Finding the Fourth Proportional to 10,137.44, 15,188.73 and 9,110.25

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Solution

The fourth proportional to 10,137.44, 15,188.73 and 9,110.25 is: 13,649.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.44 : 15,188.73 = 9,110.25 : x
  2. Step 2: Convert to fraction form
    10,137.44/15,188.73 = 9,110.25/x
  3. Step 3: Cross multiply
    10,137.44x = 15,188.73 × 9,110.25
  4. Step 4: Simplify right side
    10,137.44x = 138,373,127.48
  5. Step 5: Solve for x
    x = 138,373,127.48/10,137.44
  6. Step 6: Final answer
    x = 13,649.72

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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.