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Finding the Fourth Proportional to 9,600.25, 14,390.51 and 3,675.75

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Solution

The fourth proportional to 9,600.25, 14,390.51 and 3,675.75 is: 5,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.25 : 14,390.51 = 3,675.75 : x
  2. Step 2: Convert to fraction form
    9,600.25/14,390.51 = 3,675.75/x
  3. Step 3: Cross multiply
    9,600.25x = 14,390.51 × 3,675.75
  4. Step 4: Simplify right side
    9,600.25x = 52,895,917.13
  5. Step 5: Solve for x
    x = 52,895,917.13/9,600.25
  6. Step 6: Final answer
    x = 5,509.85

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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.