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Finding the Fourth Proportional to 9,663.75, 14,491.94 and 4,119.69

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Solution

The fourth proportional to 9,663.75, 14,491.94 and 4,119.69 is: 6,177.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.75 : 14,491.94 = 4,119.69 : x
  2. Step 2: Convert to fraction form
    9,663.75/14,491.94 = 4,119.69/x
  3. Step 3: Cross multiply
    9,663.75x = 14,491.94 × 4,119.69
  4. Step 4: Simplify right side
    9,663.75x = 59,702,279.70
  5. Step 5: Solve for x
    x = 59,702,279.70/9,663.75
  6. Step 6: Final answer
    x = 6,177.96

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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.