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Finding the Fourth Proportional to 6,325.90, 9,489.29 and 1,822.77

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Solution

The fourth proportional to 6,325.90, 9,489.29 and 1,822.77 is: 2,734.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.90 : 9,489.29 = 1,822.77 : x
  2. Step 2: Convert to fraction form
    6,325.90/9,489.29 = 1,822.77/x
  3. Step 3: Cross multiply
    6,325.90x = 9,489.29 × 1,822.77
  4. Step 4: Simplify right side
    6,325.90x = 17,296,784.02
  5. Step 5: Solve for x
    x = 17,296,784.02/6,325.90
  6. Step 6: Final answer
    x = 2,734.28

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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.