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Finding the Fourth Proportional to 9,679, 13,357.02 and 5,487.52

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Solution

The fourth proportional to 9,679, 13,357.02 and 5,487.52 is: 7,572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679 : 13,357.02 = 5,487.52 : x
  2. Step 2: Convert to fraction form
    9,679/13,357.02 = 5,487.52/x
  3. Step 3: Cross multiply
    9,679x = 13,357.02 × 5,487.52
  4. Step 4: Simplify right side
    9,679x = 73,296,914.39
  5. Step 5: Solve for x
    x = 73,296,914.39/9,679
  6. Step 6: Final answer
    x = 7,572.78

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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.