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Finding the Fourth Proportional to 9,600.21, 14,400.34 and 2,674.71

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Solution

The fourth proportional to 9,600.21, 14,400.34 and 2,674.71 is: 4,012.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.21 : 14,400.34 = 2,674.71 : x
  2. Step 2: Convert to fraction form
    9,600.21/14,400.34 = 2,674.71/x
  3. Step 3: Cross multiply
    9,600.21x = 14,400.34 × 2,674.71
  4. Step 4: Simplify right side
    9,600.21x = 38,516,726.71
  5. Step 5: Solve for x
    x = 38,516,726.71/9,600.21
  6. Step 6: Final answer
    x = 4,012.07

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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.