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Finding the Fourth Proportional to 9,172.20, 12,654.74 and 5,394.16

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Solution

The fourth proportional to 9,172.20, 12,654.74 and 5,394.16 is: 7,442.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.20 : 12,654.74 = 5,394.16 : x
  2. Step 2: Convert to fraction form
    9,172.20/12,654.74 = 5,394.16/x
  3. Step 3: Cross multiply
    9,172.20x = 12,654.74 × 5,394.16
  4. Step 4: Simplify right side
    9,172.20x = 68,261,692.32
  5. Step 5: Solve for x
    x = 68,261,692.32/9,172.20
  6. Step 6: Final answer
    x = 7,442.24

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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.