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Finding the Fourth Proportional to 9,794.38, 13,518.07 and 5,602.62

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Solution

The fourth proportional to 9,794.38, 13,518.07 and 5,602.62 is: 7,732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.38 : 13,518.07 = 5,602.62 : x
  2. Step 2: Convert to fraction form
    9,794.38/13,518.07 = 5,602.62/x
  3. Step 3: Cross multiply
    9,794.38x = 13,518.07 × 5,602.62
  4. Step 4: Simplify right side
    9,794.38x = 75,736,609.34
  5. Step 5: Solve for x
    x = 75,736,609.34/9,794.38
  6. Step 6: Final answer
    x = 7,732.66

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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.