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Finding the Fourth Proportional to 9,376.26, 12,934.36 and 6,821.14

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Solution

The fourth proportional to 9,376.26, 12,934.36 and 6,821.14 is: 9,409.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.26 : 12,934.36 = 6,821.14 : x
  2. Step 2: Convert to fraction form
    9,376.26/12,934.36 = 6,821.14/x
  3. Step 3: Cross multiply
    9,376.26x = 12,934.36 × 6,821.14
  4. Step 4: Simplify right side
    9,376.26x = 88,227,080.37
  5. Step 5: Solve for x
    x = 88,227,080.37/9,376.26
  6. Step 6: Final answer
    x = 9,409.62

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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.