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Finding the Fourth Proportional to 9,356.69, 14,033.43 and 3,116.00

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Solution

The fourth proportional to 9,356.69, 14,033.43 and 3,116.00 is: 4,673.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.69 : 14,033.43 = 3,116.00 : x
  2. Step 2: Convert to fraction form
    9,356.69/14,033.43 = 3,116.00/x
  3. Step 3: Cross multiply
    9,356.69x = 14,033.43 × 3,116.00
  4. Step 4: Simplify right side
    9,356.69x = 43,728,202.96
  5. Step 5: Solve for x
    x = 43,728,202.96/9,356.69
  6. Step 6: Final answer
    x = 4,673.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.