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Finding the Fourth Proportional to 6,406.51, 9,608.96 and 2,024.41

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Solution

The fourth proportional to 6,406.51, 9,608.96 and 2,024.41 is: 3,036.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.51 : 9,608.96 = 2,024.41 : x
  2. Step 2: Convert to fraction form
    6,406.51/9,608.96 = 2,024.41/x
  3. Step 3: Cross multiply
    6,406.51x = 9,608.96 × 2,024.41
  4. Step 4: Simplify right side
    6,406.51x = 19,452,474.71
  5. Step 5: Solve for x
    x = 19,452,474.71/6,406.51
  6. Step 6: Final answer
    x = 3,036.36

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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.