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Finding the Fourth Proportional to 6,314.00, 8,709.76 and 3,952.04

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Solution

The fourth proportional to 6,314.00, 8,709.76 and 3,952.04 is: 5,451.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.00 : 8,709.76 = 3,952.04 : x
  2. Step 2: Convert to fraction form
    6,314.00/8,709.76 = 3,952.04/x
  3. Step 3: Cross multiply
    6,314.00x = 8,709.76 × 3,952.04
  4. Step 4: Simplify right side
    6,314.00x = 34,421,331.80
  5. Step 5: Solve for x
    x = 34,421,331.80/6,314.00
  6. Step 6: Final answer
    x = 5,451.59

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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.