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Finding the Fourth Proportional to 9,628.13, 14,400.50 and 5,669.95

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Solution

The fourth proportional to 9,628.13, 14,400.50 and 5,669.95 is: 8,480.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.13 : 14,400.50 = 5,669.95 : x
  2. Step 2: Convert to fraction form
    9,628.13/14,400.50 = 5,669.95/x
  3. Step 3: Cross multiply
    9,628.13x = 14,400.50 × 5,669.95
  4. Step 4: Simplify right side
    9,628.13x = 81,650,050.62
  5. Step 5: Solve for x
    x = 81,650,050.62/9,628.13
  6. Step 6: Final answer
    x = 8,480.37

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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.