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Finding the Fourth Proportional to 9,170.09, 12,653.80 and 5,190.51

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Solution

The fourth proportional to 9,170.09, 12,653.80 and 5,190.51 is: 7,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.09 : 12,653.80 = 5,190.51 : x
  2. Step 2: Convert to fraction form
    9,170.09/12,653.80 = 5,190.51/x
  3. Step 3: Cross multiply
    9,170.09x = 12,653.80 × 5,190.51
  4. Step 4: Simplify right side
    9,170.09x = 65,679,675.44
  5. Step 5: Solve for x
    x = 65,679,675.44/9,170.09
  6. Step 6: Final answer
    x = 7,162.38

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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.