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Finding the Fourth Proportional to 9,157.04, 12,636.97 and 5,178.75

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Solution

The fourth proportional to 9,157.04, 12,636.97 and 5,178.75 is: 7,146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.04 : 12,636.97 = 5,178.75 : x
  2. Step 2: Convert to fraction form
    9,157.04/12,636.97 = 5,178.75/x
  3. Step 3: Cross multiply
    9,157.04x = 12,636.97 × 5,178.75
  4. Step 4: Simplify right side
    9,157.04x = 65,443,695.44
  5. Step 5: Solve for x
    x = 65,443,695.44/9,157.04
  6. Step 6: Final answer
    x = 7,146.82

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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.