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Finding the Fourth Proportional to 9,663.96, 14,495.48 and 5,663.56

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Solution

The fourth proportional to 9,663.96, 14,495.48 and 5,663.56 is: 8,495.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.96 : 14,495.48 = 5,663.56 : x
  2. Step 2: Convert to fraction form
    9,663.96/14,495.48 = 5,663.56/x
  3. Step 3: Cross multiply
    9,663.96x = 14,495.48 × 5,663.56
  4. Step 4: Simplify right side
    9,663.96x = 82,096,020.71
  5. Step 5: Solve for x
    x = 82,096,020.71/9,663.96
  6. Step 6: Final answer
    x = 8,495.07

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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.