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Finding the Fourth Proportional to 9,692.77, 13,374.96 and 5,442.97

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Solution

The fourth proportional to 9,692.77, 13,374.96 and 5,442.97 is: 7,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.77 : 13,374.96 = 5,442.97 : x
  2. Step 2: Convert to fraction form
    9,692.77/13,374.96 = 5,442.97/x
  3. Step 3: Cross multiply
    9,692.77x = 13,374.96 × 5,442.97
  4. Step 4: Simplify right side
    9,692.77x = 72,799,506.03
  5. Step 5: Solve for x
    x = 72,799,506.03/9,692.77
  6. Step 6: Final answer
    x = 7,510.70

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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.