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Finding the Fourth Proportional to 10,304.67, 14,215.36 and 6,943.17

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Solution

The fourth proportional to 10,304.67, 14,215.36 and 6,943.17 is: 9,578.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.67 : 14,215.36 = 6,943.17 : x
  2. Step 2: Convert to fraction form
    10,304.67/14,215.36 = 6,943.17/x
  3. Step 3: Cross multiply
    10,304.67x = 14,215.36 × 6,943.17
  4. Step 4: Simplify right side
    10,304.67x = 98,699,661.09
  5. Step 5: Solve for x
    x = 98,699,661.09/10,304.67
  6. Step 6: Final answer
    x = 9,578.15

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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.