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Finding the Fourth Proportional to 9,679.50, 13,355.65 and 5,699.16

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Solution

The fourth proportional to 9,679.50, 13,355.65 and 5,699.16 is: 7,863.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.50 : 13,355.65 = 5,699.16 : x
  2. Step 2: Convert to fraction form
    9,679.50/13,355.65 = 5,699.16/x
  3. Step 3: Cross multiply
    9,679.50x = 13,355.65 × 5,699.16
  4. Step 4: Simplify right side
    9,679.50x = 76,115,993.38
  5. Step 5: Solve for x
    x = 76,115,993.38/9,679.50
  6. Step 6: Final answer
    x = 7,863.63

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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.