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Finding the Fourth Proportional to 9,551.68, 14,327.50 and 5,389.80

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Solution

The fourth proportional to 9,551.68, 14,327.50 and 5,389.80 is: 8,084.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,551.68 : 14,327.50 = 5,389.80 : x
  2. Step 2: Convert to fraction form
    9,551.68/14,327.50 = 5,389.80/x
  3. Step 3: Cross multiply
    9,551.68x = 14,327.50 × 5,389.80
  4. Step 4: Simplify right side
    9,551.68x = 77,222,359.50
  5. Step 5: Solve for x
    x = 77,222,359.50/9,551.68
  6. Step 6: Final answer
    x = 8,084.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.