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Finding the Fourth Proportional to 6,400.14, 9,600.23 and 1,783.14

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Solution

The fourth proportional to 6,400.14, 9,600.23 and 1,783.14 is: 2,674.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.14 : 9,600.23 = 1,783.14 : x
  2. Step 2: Convert to fraction form
    6,400.14/9,600.23 = 1,783.14/x
  3. Step 3: Cross multiply
    6,400.14x = 9,600.23 × 1,783.14
  4. Step 4: Simplify right side
    6,400.14x = 17,118,545.21
  5. Step 5: Solve for x
    x = 17,118,545.21/6,400.14
  6. Step 6: Final answer
    x = 2,674.71

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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.