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Finding the Fourth Proportional to 9,383.68, 12,948.80 and 5,192

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Solution

The fourth proportional to 9,383.68, 12,948.80 and 5,192 is: 7,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.68 : 12,948.80 = 5,192 : x
  2. Step 2: Convert to fraction form
    9,383.68/12,948.80 = 5,192/x
  3. Step 3: Cross multiply
    9,383.68x = 12,948.80 × 5,192
  4. Step 4: Simplify right side
    9,383.68x = 67,230,169.60
  5. Step 5: Solve for x
    x = 67,230,169.60/9,383.68
  6. Step 6: Final answer
    x = 7,164.58

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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.