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Finding the Fourth Proportional to 6,189.95, 8,542.35 and 4,425.77

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Solution

The fourth proportional to 6,189.95, 8,542.35 and 4,425.77 is: 6,107.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.95 : 8,542.35 = 4,425.77 : x
  2. Step 2: Convert to fraction form
    6,189.95/8,542.35 = 4,425.77/x
  3. Step 3: Cross multiply
    6,189.95x = 8,542.35 × 4,425.77
  4. Step 4: Simplify right side
    6,189.95x = 37,806,476.36
  5. Step 5: Solve for x
    x = 37,806,476.36/6,189.95
  6. Step 6: Final answer
    x = 6,107.72

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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.