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Finding the Fourth Proportional to 6,406.07, 9,610.00 and 2,022.48

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Solution

The fourth proportional to 6,406.07, 9,610.00 and 2,022.48 is: 3,034.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.07 : 9,610.00 = 2,022.48 : x
  2. Step 2: Convert to fraction form
    6,406.07/9,610.00 = 2,022.48/x
  3. Step 3: Cross multiply
    6,406.07x = 9,610.00 × 2,022.48
  4. Step 4: Simplify right side
    6,406.07x = 19,436,027.74
  5. Step 5: Solve for x
    x = 19,436,027.74/6,406.07
  6. Step 6: Final answer
    x = 3,034.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.