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Finding the Fourth Proportional to 9,383.82, 12,950.56 and 5,607

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Solution

The fourth proportional to 9,383.82, 12,950.56 and 5,607 is: 7,738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.82 : 12,950.56 = 5,607 : x
  2. Step 2: Convert to fraction form
    9,383.82/12,950.56 = 5,607/x
  3. Step 3: Cross multiply
    9,383.82x = 12,950.56 × 5,607
  4. Step 4: Simplify right side
    9,383.82x = 72,613,789.92
  5. Step 5: Solve for x
    x = 72,613,789.92/9,383.82
  6. Step 6: Final answer
    x = 7,738.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.