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Finding the Fourth Proportional to 9,375, 12,937.74 and 5,649.24

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Solution

The fourth proportional to 9,375, 12,937.74 and 5,649.24 is: 7,796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375 : 12,937.74 = 5,649.24 : x
  2. Step 2: Convert to fraction form
    9,375/12,937.74 = 5,649.24/x
  3. Step 3: Cross multiply
    9,375x = 12,937.74 × 5,649.24
  4. Step 4: Simplify right side
    9,375x = 73,088,398.32
  5. Step 5: Solve for x
    x = 73,088,398.32/9,375
  6. Step 6: Final answer
    x = 7,796.10

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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.