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Finding the Fourth Proportional to 6,101.99, 9,151.92 and 2,405.25

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Solution

The fourth proportional to 6,101.99, 9,151.92 and 2,405.25 is: 3,607.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.99 : 9,151.92 = 2,405.25 : x
  2. Step 2: Convert to fraction form
    6,101.99/9,151.92 = 2,405.25/x
  3. Step 3: Cross multiply
    6,101.99x = 9,151.92 × 2,405.25
  4. Step 4: Simplify right side
    6,101.99x = 22,012,655.58
  5. Step 5: Solve for x
    x = 22,012,655.58/6,101.99
  6. Step 6: Final answer
    x = 3,607.46

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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.