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Finding the Fourth Proportional to 9,031.44, 13,544.76 and 7,571.28

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Solution

The fourth proportional to 9,031.44, 13,544.76 and 7,571.28 is: 11,354.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.44 : 13,544.76 = 7,571.28 : x
  2. Step 2: Convert to fraction form
    9,031.44/13,544.76 = 7,571.28/x
  3. Step 3: Cross multiply
    9,031.44x = 13,544.76 × 7,571.28
  4. Step 4: Simplify right side
    9,031.44x = 102,551,170.49
  5. Step 5: Solve for x
    x = 102,551,170.49/9,031.44
  6. Step 6: Final answer
    x = 11,354.91

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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.