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Finding the Fourth Proportional to 6,352.97, 9,526.44 and 2,349.05

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Solution

The fourth proportional to 6,352.97, 9,526.44 and 2,349.05 is: 3,522.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.97 : 9,526.44 = 2,349.05 : x
  2. Step 2: Convert to fraction form
    6,352.97/9,526.44 = 2,349.05/x
  3. Step 3: Cross multiply
    6,352.97x = 9,526.44 × 2,349.05
  4. Step 4: Simplify right side
    6,352.97x = 22,378,083.88
  5. Step 5: Solve for x
    x = 22,378,083.88/6,352.97
  6. Step 6: Final answer
    x = 3,522.46

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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.