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Finding the Fourth Proportional to 9,591.51, 14,389.08 and 3,747.75

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Solution

The fourth proportional to 9,591.51, 14,389.08 and 3,747.75 is: 5,622.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.51 : 14,389.08 = 3,747.75 : x
  2. Step 2: Convert to fraction form
    9,591.51/14,389.08 = 3,747.75/x
  3. Step 3: Cross multiply
    9,591.51x = 14,389.08 × 3,747.75
  4. Step 4: Simplify right side
    9,591.51x = 53,926,674.57
  5. Step 5: Solve for x
    x = 53,926,674.57/9,591.51
  6. Step 6: Final answer
    x = 5,622.33

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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.