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Finding the Fourth Proportional to 6,209.59, 9,315.93 and 3,091.09

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Solution

The fourth proportional to 6,209.59, 9,315.93 and 3,091.09 is: 4,637.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.59 : 9,315.93 = 3,091.09 : x
  2. Step 2: Convert to fraction form
    6,209.59/9,315.93 = 3,091.09/x
  3. Step 3: Cross multiply
    6,209.59x = 9,315.93 × 3,091.09
  4. Step 4: Simplify right side
    6,209.59x = 28,796,378.06
  5. Step 5: Solve for x
    x = 28,796,378.06/6,209.59
  6. Step 6: Final answer
    x = 4,637.40

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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.