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Finding the Fourth Proportional to 9,254.58, 12,767.20 and 5,895.57

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Solution

The fourth proportional to 9,254.58, 12,767.20 and 5,895.57 is: 8,133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.58 : 12,767.20 = 5,895.57 : x
  2. Step 2: Convert to fraction form
    9,254.58/12,767.20 = 5,895.57/x
  3. Step 3: Cross multiply
    9,254.58x = 12,767.20 × 5,895.57
  4. Step 4: Simplify right side
    9,254.58x = 75,269,921.30
  5. Step 5: Solve for x
    x = 75,269,921.30/9,254.58
  6. Step 6: Final answer
    x = 8,133.26

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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.