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Finding the Fourth Proportional to 6,692.41, 9,237.43 and 4,040

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Solution

The fourth proportional to 6,692.41, 9,237.43 and 4,040 is: 5,576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.41 : 9,237.43 = 4,040 : x
  2. Step 2: Convert to fraction form
    6,692.41/9,237.43 = 4,040/x
  3. Step 3: Cross multiply
    6,692.41x = 9,237.43 × 4,040
  4. Step 4: Simplify right side
    6,692.41x = 37,319,217.20
  5. Step 5: Solve for x
    x = 37,319,217.20/6,692.41
  6. Step 6: Final answer
    x = 5,576.35

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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.