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Finding the Fourth Proportional to 9,271.97, 12,785.15 and 7,142.89

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Solution

The fourth proportional to 9,271.97, 12,785.15 and 7,142.89 is: 9,849.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.97 : 12,785.15 = 7,142.89 : x
  2. Step 2: Convert to fraction form
    9,271.97/12,785.15 = 7,142.89/x
  3. Step 3: Cross multiply
    9,271.97x = 12,785.15 × 7,142.89
  4. Step 4: Simplify right side
    9,271.97x = 91,322,820.44
  5. Step 5: Solve for x
    x = 91,322,820.44/9,271.97
  6. Step 6: Final answer
    x = 9,849.34

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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.