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Finding the Fourth Proportional to 9,356.57, 14,035.46 and 3,116.33

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Solution

The fourth proportional to 9,356.57, 14,035.46 and 3,116.33 is: 4,674.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.57 : 14,035.46 = 3,116.33 : x
  2. Step 2: Convert to fraction form
    9,356.57/14,035.46 = 3,116.33/x
  3. Step 3: Cross multiply
    9,356.57x = 14,035.46 × 3,116.33
  4. Step 4: Simplify right side
    9,356.57x = 43,739,039.30
  5. Step 5: Solve for x
    x = 43,739,039.30/9,356.57
  6. Step 6: Final answer
    x = 4,674.69

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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.