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Finding the Fourth Proportional to 9,628.80, 14,433.60 and 4,425.60

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Solution

The fourth proportional to 9,628.80, 14,433.60 and 4,425.60 is: 6,633.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.80 : 14,433.60 = 4,425.60 : x
  2. Step 2: Convert to fraction form
    9,628.80/14,433.60 = 4,425.60/x
  3. Step 3: Cross multiply
    9,628.80x = 14,433.60 × 4,425.60
  4. Step 4: Simplify right side
    9,628.80x = 63,877,340.16
  5. Step 5: Solve for x
    x = 63,877,340.16/9,628.80
  6. Step 6: Final answer
    x = 6,633.99

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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.