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Finding the Fourth Proportional to 9,383.18, 14,084.48 and 7,020

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Solution

The fourth proportional to 9,383.18, 14,084.48 and 7,020 is: 10,537.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.18 : 14,084.48 = 7,020 : x
  2. Step 2: Convert to fraction form
    9,383.18/14,084.48 = 7,020/x
  3. Step 3: Cross multiply
    9,383.18x = 14,084.48 × 7,020
  4. Step 4: Simplify right side
    9,383.18x = 98,873,067.15
  5. Step 5: Solve for x
    x = 98,873,067.15/9,383.18
  6. Step 6: Final answer
    x = 10,537.27

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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.