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Finding the Fourth Proportional to 7,008.99, 9,674.75 and 4,177.25

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Solution

The fourth proportional to 7,008.99, 9,674.75 and 4,177.25 is: 5,766.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.99 : 9,674.75 = 4,177.25 : x
  2. Step 2: Convert to fraction form
    7,008.99/9,674.75 = 4,177.25/x
  3. Step 3: Cross multiply
    7,008.99x = 9,674.75 × 4,177.25
  4. Step 4: Simplify right side
    7,008.99x = 40,413,849.44
  5. Step 5: Solve for x
    x = 40,413,849.44/7,008.99
  6. Step 6: Final answer
    x = 5,766.00

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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.