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Finding the Fourth Proportional to 9,587.34, 14,383.14 and 3,744

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Solution

The fourth proportional to 9,587.34, 14,383.14 and 3,744 is: 5,616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.34 : 14,383.14 = 3,744 : x
  2. Step 2: Convert to fraction form
    9,587.34/14,383.14 = 3,744/x
  3. Step 3: Cross multiply
    9,587.34x = 14,383.14 × 3,744
  4. Step 4: Simplify right side
    9,587.34x = 53,850,476.16
  5. Step 5: Solve for x
    x = 53,850,476.16/9,587.34
  6. Step 6: Final answer
    x = 5,616.83

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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.