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Finding the Fourth Proportional to 10,297.53, 14,208.21 and 6,946.56

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Solution

The fourth proportional to 10,297.53, 14,208.21 and 6,946.56 is: 9,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.53 : 14,208.21 = 6,946.56 : x
  2. Step 2: Convert to fraction form
    10,297.53/14,208.21 = 6,946.56/x
  3. Step 3: Cross multiply
    10,297.53x = 14,208.21 × 6,946.56
  4. Step 4: Simplify right side
    10,297.53x = 98,698,183.26
  5. Step 5: Solve for x
    x = 98,698,183.26/10,297.53
  6. Step 6: Final answer
    x = 9,584.65

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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.