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Finding the Fourth Proportional to 6,262.84, 8,642.86 and 3,430.28

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Solution

The fourth proportional to 6,262.84, 8,642.86 and 3,430.28 is: 4,733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.84 : 8,642.86 = 3,430.28 : x
  2. Step 2: Convert to fraction form
    6,262.84/8,642.86 = 3,430.28/x
  3. Step 3: Cross multiply
    6,262.84x = 8,642.86 × 3,430.28
  4. Step 4: Simplify right side
    6,262.84x = 29,647,429.80
  5. Step 5: Solve for x
    x = 29,647,429.80/6,262.84
  6. Step 6: Final answer
    x = 4,733.86

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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.