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Finding the Fourth Proportional to 6,206.81, 9,288.35 and 4,734.23

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Solution

The fourth proportional to 6,206.81, 9,288.35 and 4,734.23 is: 7,084.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.81 : 9,288.35 = 4,734.23 : x
  2. Step 2: Convert to fraction form
    6,206.81/9,288.35 = 4,734.23/x
  3. Step 3: Cross multiply
    6,206.81x = 9,288.35 × 4,734.23
  4. Step 4: Simplify right side
    6,206.81x = 43,973,115.11
  5. Step 5: Solve for x
    x = 43,973,115.11/6,206.81
  6. Step 6: Final answer
    x = 7,084.66

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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.