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Finding the Fourth Proportional to 9,625.28, 14,420.90 and 6,689.84

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Solution

The fourth proportional to 9,625.28, 14,420.90 and 6,689.84 is: 10,022.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.28 : 14,420.90 = 6,689.84 : x
  2. Step 2: Convert to fraction form
    9,625.28/14,420.90 = 6,689.84/x
  3. Step 3: Cross multiply
    9,625.28x = 14,420.90 × 6,689.84
  4. Step 4: Simplify right side
    9,625.28x = 96,473,458.28
  5. Step 5: Solve for x
    x = 96,473,458.28/9,625.28
  6. Step 6: Final answer
    x = 10,022.93

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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.