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Finding the Fourth Proportional to 7,050.56, 9,730.10 and 3,906.75

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Solution

The fourth proportional to 7,050.56, 9,730.10 and 3,906.75 is: 5,391.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050.56 : 9,730.10 = 3,906.75 : x
  2. Step 2: Convert to fraction form
    7,050.56/9,730.10 = 3,906.75/x
  3. Step 3: Cross multiply
    7,050.56x = 9,730.10 × 3,906.75
  4. Step 4: Simplify right side
    7,050.56x = 38,013,048.64
  5. Step 5: Solve for x
    x = 38,013,048.64/7,050.56
  6. Step 6: Final answer
    x = 5,391.49

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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.