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Finding the Fourth Proportional to 9,072.74, 13,610.70 and 4,142.88

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Solution

The fourth proportional to 9,072.74, 13,610.70 and 4,142.88 is: 6,215.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.74 : 13,610.70 = 4,142.88 : x
  2. Step 2: Convert to fraction form
    9,072.74/13,610.70 = 4,142.88/x
  3. Step 3: Cross multiply
    9,072.74x = 13,610.70 × 4,142.88
  4. Step 4: Simplify right side
    9,072.74x = 56,387,496.82
  5. Step 5: Solve for x
    x = 56,387,496.82/9,072.74
  6. Step 6: Final answer
    x = 6,215.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.