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Finding the Fourth Proportional to 6,638.00, 9,156.99 and 5,380.47

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Solution

The fourth proportional to 6,638.00, 9,156.99 and 5,380.47 is: 7,422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.00 : 9,156.99 = 5,380.47 : x
  2. Step 2: Convert to fraction form
    6,638.00/9,156.99 = 5,380.47/x
  3. Step 3: Cross multiply
    6,638.00x = 9,156.99 × 5,380.47
  4. Step 4: Simplify right side
    6,638.00x = 49,268,909.99
  5. Step 5: Solve for x
    x = 49,268,909.99/6,638.00
  6. Step 6: Final answer
    x = 7,422.26

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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.