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Finding the Fourth Proportional to 7,057.46, 9,739.27 and 3,913.65

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Solution

The fourth proportional to 7,057.46, 9,739.27 and 3,913.65 is: 5,400.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.46 : 9,739.27 = 3,913.65 : x
  2. Step 2: Convert to fraction form
    7,057.46/9,739.27 = 3,913.65/x
  3. Step 3: Cross multiply
    7,057.46x = 9,739.27 × 3,913.65
  4. Step 4: Simplify right side
    7,057.46x = 38,116,098.93
  5. Step 5: Solve for x
    x = 38,116,098.93/7,057.46
  6. Step 6: Final answer
    x = 5,400.82

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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.