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Finding the Fourth Proportional to 9,996, 13,795.44 and 6,269.28

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Solution

The fourth proportional to 9,996, 13,795.44 and 6,269.28 is: 8,652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996 : 13,795.44 = 6,269.28 : x
  2. Step 2: Convert to fraction form
    9,996/13,795.44 = 6,269.28/x
  3. Step 3: Cross multiply
    9,996x = 13,795.44 × 6,269.28
  4. Step 4: Simplify right side
    9,996x = 86,487,476.08
  5. Step 5: Solve for x
    x = 86,487,476.08/9,996
  6. Step 6: Final answer
    x = 8,652.21

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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.