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Finding the Fourth Proportional to 9,603.20, 14,400.48 and 3,756.80

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Solution

The fourth proportional to 9,603.20, 14,400.48 and 3,756.80 is: 5,633.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.20 : 14,400.48 = 3,756.80 : x
  2. Step 2: Convert to fraction form
    9,603.20/14,400.48 = 3,756.80/x
  3. Step 3: Cross multiply
    9,603.20x = 14,400.48 × 3,756.80
  4. Step 4: Simplify right side
    9,603.20x = 54,099,723.26
  5. Step 5: Solve for x
    x = 54,099,723.26/9,603.20
  6. Step 6: Final answer
    x = 5,633.51

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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.