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Finding the Fourth Proportional to 9,416.38, 12,995.22 and 5,437.66

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Solution

The fourth proportional to 9,416.38, 12,995.22 and 5,437.66 is: 7,504.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.38 : 12,995.22 = 5,437.66 : x
  2. Step 2: Convert to fraction form
    9,416.38/12,995.22 = 5,437.66/x
  3. Step 3: Cross multiply
    9,416.38x = 12,995.22 × 5,437.66
  4. Step 4: Simplify right side
    9,416.38x = 70,663,587.99
  5. Step 5: Solve for x
    x = 70,663,587.99/9,416.38
  6. Step 6: Final answer
    x = 7,504.33

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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.