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Finding the Fourth Proportional to 9,175.15, 13,762.73 and 8,081.65

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Solution

The fourth proportional to 9,175.15, 13,762.73 and 8,081.65 is: 12,122.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.15 : 13,762.73 = 8,081.65 : x
  2. Step 2: Convert to fraction form
    9,175.15/13,762.73 = 8,081.65/x
  3. Step 3: Cross multiply
    9,175.15x = 13,762.73 × 8,081.65
  4. Step 4: Simplify right side
    9,175.15x = 111,225,526.50
  5. Step 5: Solve for x
    x = 111,225,526.50/9,175.15
  6. Step 6: Final answer
    x = 12,122.48

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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.