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Finding the Fourth Proportional to 9,409.62, 14,113.26 and 5,463.02

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Solution

The fourth proportional to 9,409.62, 14,113.26 and 5,463.02 is: 8,193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.62 : 14,113.26 = 5,463.02 : x
  2. Step 2: Convert to fraction form
    9,409.62/14,113.26 = 5,463.02/x
  3. Step 3: Cross multiply
    9,409.62x = 14,113.26 × 5,463.02
  4. Step 4: Simplify right side
    9,409.62x = 77,101,021.65
  5. Step 5: Solve for x
    x = 77,101,021.65/9,409.62
  6. Step 6: Final answer
    x = 8,193.85

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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.