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Finding the Fourth Proportional to 9,606.06, 13,257.50 and 5,357.79

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Solution

The fourth proportional to 9,606.06, 13,257.50 and 5,357.79 is: 7,394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.06 : 13,257.50 = 5,357.79 : x
  2. Step 2: Convert to fraction form
    9,606.06/13,257.50 = 5,357.79/x
  3. Step 3: Cross multiply
    9,606.06x = 13,257.50 × 5,357.79
  4. Step 4: Simplify right side
    9,606.06x = 71,030,874.14
  5. Step 5: Solve for x
    x = 71,030,874.14/9,606.06
  6. Step 6: Final answer
    x = 7,394.38

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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.