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Finding the Fourth Proportional to 9,679.74, 13,358.04 and 5,487.96

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Solution

The fourth proportional to 9,679.74, 13,358.04 and 5,487.96 is: 7,573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.74 : 13,358.04 = 5,487.96 : x
  2. Step 2: Convert to fraction form
    9,679.74/13,358.04 = 5,487.96/x
  3. Step 3: Cross multiply
    9,679.74x = 13,358.04 × 5,487.96
  4. Step 4: Simplify right side
    9,679.74x = 73,308,389.20
  5. Step 5: Solve for x
    x = 73,308,389.20/9,679.74
  6. Step 6: Final answer
    x = 7,573.38

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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.