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Finding the Fourth Proportional to 6,588.72, 9,884.30 and 2,209.32

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Solution

The fourth proportional to 6,588.72, 9,884.30 and 2,209.32 is: 3,314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.72 : 9,884.30 = 2,209.32 : x
  2. Step 2: Convert to fraction form
    6,588.72/9,884.30 = 2,209.32/x
  3. Step 3: Cross multiply
    6,588.72x = 9,884.30 × 2,209.32
  4. Step 4: Simplify right side
    6,588.72x = 21,837,570.63
  5. Step 5: Solve for x
    x = 21,837,570.63/6,588.72
  6. Step 6: Final answer
    x = 3,314.39

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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.