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Finding the Fourth Proportional to 9,268.75, 12,790.88 and 5,542.75

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Solution

The fourth proportional to 9,268.75, 12,790.88 and 5,542.75 is: 7,649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.75 : 12,790.88 = 5,542.75 : x
  2. Step 2: Convert to fraction form
    9,268.75/12,790.88 = 5,542.75/x
  3. Step 3: Cross multiply
    9,268.75x = 12,790.88 × 5,542.75
  4. Step 4: Simplify right side
    9,268.75x = 70,896,650.12
  5. Step 5: Solve for x
    x = 70,896,650.12/9,268.75
  6. Step 6: Final answer
    x = 7,649.00

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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.