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Finding the Fourth Proportional to 6,357.80, 8,773.74 and 3,563.24

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Solution

The fourth proportional to 6,357.80, 8,773.74 and 3,563.24 is: 4,917.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.80 : 8,773.74 = 3,563.24 : x
  2. Step 2: Convert to fraction form
    6,357.80/8,773.74 = 3,563.24/x
  3. Step 3: Cross multiply
    6,357.80x = 8,773.74 × 3,563.24
  4. Step 4: Simplify right side
    6,357.80x = 31,262,941.32
  5. Step 5: Solve for x
    x = 31,262,941.32/6,357.80
  6. Step 6: Final answer
    x = 4,917.26

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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.