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Finding the Fourth Proportional to 9,784.38, 13,499.78 and 6,008.96

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Solution

The fourth proportional to 9,784.38, 13,499.78 and 6,008.96 is: 8,290.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.38 : 13,499.78 = 6,008.96 : x
  2. Step 2: Convert to fraction form
    9,784.38/13,499.78 = 6,008.96/x
  3. Step 3: Cross multiply
    9,784.38x = 13,499.78 × 6,008.96
  4. Step 4: Simplify right side
    9,784.38x = 81,119,638.03
  5. Step 5: Solve for x
    x = 81,119,638.03/9,784.38
  6. Step 6: Final answer
    x = 8,290.73

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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.