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Finding the Fourth Proportional to 9,683.25, 13,349.37 and 6,490.98

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Solution

The fourth proportional to 9,683.25, 13,349.37 and 6,490.98 is: 8,948.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.25 : 13,349.37 = 6,490.98 : x
  2. Step 2: Convert to fraction form
    9,683.25/13,349.37 = 6,490.98/x
  3. Step 3: Cross multiply
    9,683.25x = 13,349.37 × 6,490.98
  4. Step 4: Simplify right side
    9,683.25x = 86,650,493.68
  5. Step 5: Solve for x
    x = 86,650,493.68/9,683.25
  6. Step 6: Final answer
    x = 8,948.49

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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.