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Finding the Fourth Proportional to 6,209.90, 8,563.23 and 4,323.63

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Solution

The fourth proportional to 6,209.90, 8,563.23 and 4,323.63 is: 5,962.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.90 : 8,563.23 = 4,323.63 : x
  2. Step 2: Convert to fraction form
    6,209.90/8,563.23 = 4,323.63/x
  3. Step 3: Cross multiply
    6,209.90x = 8,563.23 × 4,323.63
  4. Step 4: Simplify right side
    6,209.90x = 37,024,238.12
  5. Step 5: Solve for x
    x = 37,024,238.12/6,209.90
  6. Step 6: Final answer
    x = 5,962.14

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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.