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Finding the Fourth Proportional to 6,126.44, 9,189.60 and 1,509.44

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Solution

The fourth proportional to 6,126.44, 9,189.60 and 1,509.44 is: 2,264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126.44 : 9,189.60 = 1,509.44 : x
  2. Step 2: Convert to fraction form
    6,126.44/9,189.60 = 1,509.44/x
  3. Step 3: Cross multiply
    6,126.44x = 9,189.60 × 1,509.44
  4. Step 4: Simplify right side
    6,126.44x = 13,871,149.82
  5. Step 5: Solve for x
    x = 13,871,149.82/6,126.44
  6. Step 6: Final answer
    x = 2,264.15

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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.