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Finding the Fourth Proportional to 9,383.68, 12,949.44 and 5,607.52

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Solution

The fourth proportional to 9,383.68, 12,949.44 and 5,607.52 is: 7,738.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.68 : 12,949.44 = 5,607.52 : x
  2. Step 2: Convert to fraction form
    9,383.68/12,949.44 = 5,607.52/x
  3. Step 3: Cross multiply
    9,383.68x = 12,949.44 × 5,607.52
  4. Step 4: Simplify right side
    9,383.68x = 72,614,243.79
  5. Step 5: Solve for x
    x = 72,614,243.79/9,383.68
  6. Step 6: Final answer
    x = 7,738.35

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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.