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Finding the Fourth Proportional to 9,049.56, 12,476.75 and 5,857.20

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Solution

The fourth proportional to 9,049.56, 12,476.75 and 5,857.20 is: 8,075.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.56 : 12,476.75 = 5,857.20 : x
  2. Step 2: Convert to fraction form
    9,049.56/12,476.75 = 5,857.20/x
  3. Step 3: Cross multiply
    9,049.56x = 12,476.75 × 5,857.20
  4. Step 4: Simplify right side
    9,049.56x = 73,078,820.10
  5. Step 5: Solve for x
    x = 73,078,820.10/9,049.56
  6. Step 6: Final answer
    x = 8,075.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.