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Finding the Fourth Proportional to 9,663.41, 14,476.75 and 5,506.29

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Solution

The fourth proportional to 9,663.41, 14,476.75 and 5,506.29 is: 8,248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.41 : 14,476.75 = 5,506.29 : x
  2. Step 2: Convert to fraction form
    9,663.41/14,476.75 = 5,506.29/x
  3. Step 3: Cross multiply
    9,663.41x = 14,476.75 × 5,506.29
  4. Step 4: Simplify right side
    9,663.41x = 79,713,169.99
  5. Step 5: Solve for x
    x = 79,713,169.99/9,663.41
  6. Step 6: Final answer
    x = 8,248.97

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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.