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Finding the Fourth Proportional to 6,262.99, 8,642.57 and 3,429.81

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Solution

The fourth proportional to 6,262.99, 8,642.57 and 3,429.81 is: 4,732.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.99 : 8,642.57 = 3,429.81 : x
  2. Step 2: Convert to fraction form
    6,262.99/8,642.57 = 3,429.81/x
  3. Step 3: Cross multiply
    6,262.99x = 8,642.57 × 3,429.81
  4. Step 4: Simplify right side
    6,262.99x = 29,642,355.86
  5. Step 5: Solve for x
    x = 29,642,355.86/6,262.99
  6. Step 6: Final answer
    x = 4,732.94

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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.