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Finding the Fourth Proportional to 9,394.92, 14,093.19 and 3,848.58

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Solution

The fourth proportional to 9,394.92, 14,093.19 and 3,848.58 is: 5,773.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.92 : 14,093.19 = 3,848.58 : x
  2. Step 2: Convert to fraction form
    9,394.92/14,093.19 = 3,848.58/x
  3. Step 3: Cross multiply
    9,394.92x = 14,093.19 × 3,848.58
  4. Step 4: Simplify right side
    9,394.92x = 54,238,769.17
  5. Step 5: Solve for x
    x = 54,238,769.17/9,394.92
  6. Step 6: Final answer
    x = 5,773.20

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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.