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Finding the Fourth Proportional to 9,550.46, 14,328.12 and 5,161.88

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Solution

The fourth proportional to 9,550.46, 14,328.12 and 5,161.88 is: 7,744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550.46 : 14,328.12 = 5,161.88 : x
  2. Step 2: Convert to fraction form
    9,550.46/14,328.12 = 5,161.88/x
  3. Step 3: Cross multiply
    9,550.46x = 14,328.12 × 5,161.88
  4. Step 4: Simplify right side
    9,550.46x = 73,960,036.07
  5. Step 5: Solve for x
    x = 73,960,036.07/9,550.46
  6. Step 6: Final answer
    x = 7,744.13

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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.