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Finding the Fourth Proportional to 9,157.61, 12,638.67 and 5,178.65

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Solution

The fourth proportional to 9,157.61, 12,638.67 and 5,178.65 is: 7,147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.61 : 12,638.67 = 5,178.65 : x
  2. Step 2: Convert to fraction form
    9,157.61/12,638.67 = 5,178.65/x
  3. Step 3: Cross multiply
    9,157.61x = 12,638.67 × 5,178.65
  4. Step 4: Simplify right side
    9,157.61x = 65,451,185.20
  5. Step 5: Solve for x
    x = 65,451,185.20/9,157.61
  6. Step 6: Final answer
    x = 7,147.19

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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.