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Finding the Fourth Proportional to 9,175.81, 13,763.70 and 8,708.34

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Solution

The fourth proportional to 9,175.81, 13,763.70 and 8,708.34 is: 13,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.81 : 13,763.70 = 8,708.34 : x
  2. Step 2: Convert to fraction form
    9,175.81/13,763.70 = 8,708.34/x
  3. Step 3: Cross multiply
    9,175.81x = 13,763.70 × 8,708.34
  4. Step 4: Simplify right side
    9,175.81x = 119,858,979.26
  5. Step 5: Solve for x
    x = 119,858,979.26/9,175.81
  6. Step 6: Final answer
    x = 13,062.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.