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Finding the Fourth Proportional to 9,178.56, 12,665.72 and 5,145.82

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Solution

The fourth proportional to 9,178.56, 12,665.72 and 5,145.82 is: 7,100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.56 : 12,665.72 = 5,145.82 : x
  2. Step 2: Convert to fraction form
    9,178.56/12,665.72 = 5,145.82/x
  3. Step 3: Cross multiply
    9,178.56x = 12,665.72 × 5,145.82
  4. Step 4: Simplify right side
    9,178.56x = 65,175,496.49
  5. Step 5: Solve for x
    x = 65,175,496.49/9,178.56
  6. Step 6: Final answer
    x = 7,100.84

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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.