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Finding the Fourth Proportional to 9,962.84, 13,744.09 and 6,427.19

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Solution

The fourth proportional to 9,962.84, 13,744.09 and 6,427.19 is: 8,866.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.84 : 13,744.09 = 6,427.19 : x
  2. Step 2: Convert to fraction form
    9,962.84/13,744.09 = 6,427.19/x
  3. Step 3: Cross multiply
    9,962.84x = 13,744.09 × 6,427.19
  4. Step 4: Simplify right side
    9,962.84x = 88,335,877.81
  5. Step 5: Solve for x
    x = 88,335,877.81/9,962.84
  6. Step 6: Final answer
    x = 8,866.54

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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.