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Finding the Fourth Proportional to 9,628.81, 14,436.98 and 6,331.90

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Solution

The fourth proportional to 9,628.81, 14,436.98 and 6,331.90 is: 9,493.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.81 : 14,436.98 = 6,331.90 : x
  2. Step 2: Convert to fraction form
    9,628.81/14,436.98 = 6,331.90/x
  3. Step 3: Cross multiply
    9,628.81x = 14,436.98 × 6,331.90
  4. Step 4: Simplify right side
    9,628.81x = 91,413,513.66
  5. Step 5: Solve for x
    x = 91,413,513.66/9,628.81
  6. Step 6: Final answer
    x = 9,493.75

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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.