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Finding the Fourth Proportional to 10,095.81, 13,932.87 and 6,736.48

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Solution

The fourth proportional to 10,095.81, 13,932.87 and 6,736.48 is: 9,296.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.81 : 13,932.87 = 6,736.48 : x
  2. Step 2: Convert to fraction form
    10,095.81/13,932.87 = 6,736.48/x
  3. Step 3: Cross multiply
    10,095.81x = 13,932.87 × 6,736.48
  4. Step 4: Simplify right side
    10,095.81x = 93,858,565.74
  5. Step 5: Solve for x
    x = 93,858,565.74/10,095.81
  6. Step 6: Final answer
    x = 9,296.79

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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.