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Finding the Fourth Proportional to 6,338.46, 8,743.77 and 4,242.18

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Solution

The fourth proportional to 6,338.46, 8,743.77 and 4,242.18 is: 5,852.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.46 : 8,743.77 = 4,242.18 : x
  2. Step 2: Convert to fraction form
    6,338.46/8,743.77 = 4,242.18/x
  3. Step 3: Cross multiply
    6,338.46x = 8,743.77 × 4,242.18
  4. Step 4: Simplify right side
    6,338.46x = 37,092,646.22
  5. Step 5: Solve for x
    x = 37,092,646.22/6,338.46
  6. Step 6: Final answer
    x = 5,852.00

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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.