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Finding the Fourth Proportional to 9,305.97, 12,842.34 and 5,114.22

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Solution

The fourth proportional to 9,305.97, 12,842.34 and 5,114.22 is: 7,057.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.97 : 12,842.34 = 5,114.22 : x
  2. Step 2: Convert to fraction form
    9,305.97/12,842.34 = 5,114.22/x
  3. Step 3: Cross multiply
    9,305.97x = 12,842.34 × 5,114.22
  4. Step 4: Simplify right side
    9,305.97x = 65,678,552.07
  5. Step 5: Solve for x
    x = 65,678,552.07/9,305.97
  6. Step 6: Final answer
    x = 7,057.68

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Similar ratio
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1.5x scale

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.