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Finding the Fourth Proportional to 6,355.99, 9,535.65 and 2,407.28

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Solution

The fourth proportional to 6,355.99, 9,535.65 and 2,407.28 is: 3,611.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.99 : 9,535.65 = 2,407.28 : x
  2. Step 2: Convert to fraction form
    6,355.99/9,535.65 = 2,407.28/x
  3. Step 3: Cross multiply
    6,355.99x = 9,535.65 × 2,407.28
  4. Step 4: Simplify right side
    6,355.99x = 22,954,922.83
  5. Step 5: Solve for x
    x = 22,954,922.83/6,355.99
  6. Step 6: Final answer
    x = 3,611.54

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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.