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Finding the Fourth Proportional to 10,126.37, 13,958.47 and 6,934.14

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Solution

The fourth proportional to 10,126.37, 13,958.47 and 6,934.14 is: 9,558.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126.37 : 13,958.47 = 6,934.14 : x
  2. Step 2: Convert to fraction form
    10,126.37/13,958.47 = 6,934.14/x
  3. Step 3: Cross multiply
    10,126.37x = 13,958.47 × 6,934.14
  4. Step 4: Simplify right side
    10,126.37x = 96,789,967.83
  5. Step 5: Solve for x
    x = 96,789,967.83/10,126.37
  6. Step 6: Final answer
    x = 9,558.21

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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.