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Finding the Fourth Proportional to 6,189.76, 8,542.09 and 4,425.58

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Solution

The fourth proportional to 6,189.76, 8,542.09 and 4,425.58 is: 6,107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.76 : 8,542.09 = 4,425.58 : x
  2. Step 2: Convert to fraction form
    6,189.76/8,542.09 = 4,425.58/x
  3. Step 3: Cross multiply
    6,189.76x = 8,542.09 × 4,425.58
  4. Step 4: Simplify right side
    6,189.76x = 37,803,702.66
  5. Step 5: Solve for x
    x = 37,803,702.66/6,189.76
  6. Step 6: Final answer
    x = 6,107.46

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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.