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Finding the Fourth Proportional to 10,127.37, 13,959.85 and 6,935.14

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Solution

The fourth proportional to 10,127.37, 13,959.85 and 6,935.14 is: 9,559.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,127.37 : 13,959.85 = 6,935.14 : x
  2. Step 2: Convert to fraction form
    10,127.37/13,959.85 = 6,935.14/x
  3. Step 3: Cross multiply
    10,127.37x = 13,959.85 × 6,935.14
  4. Step 4: Simplify right side
    10,127.37x = 96,813,514.13
  5. Step 5: Solve for x
    x = 96,813,514.13/10,127.37
  6. Step 6: Final answer
    x = 9,559.59

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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.