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Finding the Fourth Proportional to 10,216.74, 14,097.69 and 5,969.22

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Solution

The fourth proportional to 10,216.74, 14,097.69 and 5,969.22 is: 8,236.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.74 : 14,097.69 = 5,969.22 : x
  2. Step 2: Convert to fraction form
    10,216.74/14,097.69 = 5,969.22/x
  3. Step 3: Cross multiply
    10,216.74x = 14,097.69 × 5,969.22
  4. Step 4: Simplify right side
    10,216.74x = 84,152,213.10
  5. Step 5: Solve for x
    x = 84,152,213.10/10,216.74
  6. Step 6: Final answer
    x = 8,236.70

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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.