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Finding the Fourth Proportional to 6,262.36, 8,642.16 and 3,429.68

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Solution

The fourth proportional to 6,262.36, 8,642.16 and 3,429.68 is: 4,733.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.36 : 8,642.16 = 3,429.68 : x
  2. Step 2: Convert to fraction form
    6,262.36/8,642.16 = 3,429.68/x
  3. Step 3: Cross multiply
    6,262.36x = 8,642.16 × 3,429.68
  4. Step 4: Simplify right side
    6,262.36x = 29,639,800.10
  5. Step 5: Solve for x
    x = 29,639,800.10/6,262.36
  6. Step 6: Final answer
    x = 4,733.01

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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.