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Finding the Fourth Proportional to 9,652.25, 13,310.99 and 6,297.64

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Solution

The fourth proportional to 9,652.25, 13,310.99 and 6,297.64 is: 8,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.25 : 13,310.99 = 6,297.64 : x
  2. Step 2: Convert to fraction form
    9,652.25/13,310.99 = 6,297.64/x
  3. Step 3: Cross multiply
    9,652.25x = 13,310.99 × 6,297.64
  4. Step 4: Simplify right side
    9,652.25x = 83,827,823.06
  5. Step 5: Solve for x
    x = 83,827,823.06/9,652.25
  6. Step 6: Final answer
    x = 8,684.80

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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.