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Finding the Fourth Proportional to 7,070.56, 9,757.27 and 3,883.98

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Solution

The fourth proportional to 7,070.56, 9,757.27 and 3,883.98 is: 5,359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.56 : 9,757.27 = 3,883.98 : x
  2. Step 2: Convert to fraction form
    7,070.56/9,757.27 = 3,883.98/x
  3. Step 3: Cross multiply
    7,070.56x = 9,757.27 × 3,883.98
  4. Step 4: Simplify right side
    7,070.56x = 37,896,981.54
  5. Step 5: Solve for x
    x = 37,896,981.54/7,070.56
  6. Step 6: Final answer
    x = 5,359.83

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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.