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Finding the Fourth Proportional to 10,114.93, 13,963.74 and 6,340.33

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Solution

The fourth proportional to 10,114.93, 13,963.74 and 6,340.33 is: 8,752.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.93 : 13,963.74 = 6,340.33 : x
  2. Step 2: Convert to fraction form
    10,114.93/13,963.74 = 6,340.33/x
  3. Step 3: Cross multiply
    10,114.93x = 13,963.74 × 6,340.33
  4. Step 4: Simplify right side
    10,114.93x = 88,534,649.82
  5. Step 5: Solve for x
    x = 88,534,649.82/10,114.93
  6. Step 6: Final answer
    x = 8,752.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.