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Finding the Fourth Proportional to 9,157.73, 12,637.62 and 5,178.87

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Solution

The fourth proportional to 9,157.73, 12,637.62 and 5,178.87 is: 7,146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.73 : 12,637.62 = 5,178.87 : x
  2. Step 2: Convert to fraction form
    9,157.73/12,637.62 = 5,178.87/x
  3. Step 3: Cross multiply
    9,157.73x = 12,637.62 × 5,178.87
  4. Step 4: Simplify right side
    9,157.73x = 65,448,591.09
  5. Step 5: Solve for x
    x = 65,448,591.09/9,157.73
  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.