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Finding the Fourth Proportional to 10,683.36, 14,743.08 and 6,209.73

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Solution

The fourth proportional to 10,683.36, 14,743.08 and 6,209.73 is: 8,569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.36 : 14,743.08 = 6,209.73 : x
  2. Step 2: Convert to fraction form
    10,683.36/14,743.08 = 6,209.73/x
  3. Step 3: Cross multiply
    10,683.36x = 14,743.08 × 6,209.73
  4. Step 4: Simplify right side
    10,683.36x = 91,550,546.17
  5. Step 5: Solve for x
    x = 91,550,546.17/10,683.36
  6. Step 6: Final answer
    x = 8,569.45

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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.