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Finding the Fourth Proportional to 9,247.75, 12,761.90 and 5,056

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Solution

The fourth proportional to 9,247.75, 12,761.90 and 5,056 is: 6,977.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.75 : 12,761.90 = 5,056 : x
  2. Step 2: Convert to fraction form
    9,247.75/12,761.90 = 5,056/x
  3. Step 3: Cross multiply
    9,247.75x = 12,761.90 × 5,056
  4. Step 4: Simplify right side
    9,247.75x = 64,524,166.40
  5. Step 5: Solve for x
    x = 64,524,166.40/9,247.75
  6. Step 6: Final answer
    x = 6,977.28

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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.