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Finding the Fourth Proportional to 6,592.98, 9,893.25 and 2,697.42

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Solution

The fourth proportional to 6,592.98, 9,893.25 and 2,697.42 is: 4,047.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.98 : 9,893.25 = 2,697.42 : x
  2. Step 2: Convert to fraction form
    6,592.98/9,893.25 = 2,697.42/x
  3. Step 3: Cross multiply
    6,592.98x = 9,893.25 × 2,697.42
  4. Step 4: Simplify right side
    6,592.98x = 26,686,250.42
  5. Step 5: Solve for x
    x = 26,686,250.42/6,592.98
  6. Step 6: Final answer
    x = 4,047.68

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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.