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Finding the Fourth Proportional to 9,615.84, 13,269.87 and 5,424.09

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Solution

The fourth proportional to 9,615.84, 13,269.87 and 5,424.09 is: 7,485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.84 : 13,269.87 = 5,424.09 : x
  2. Step 2: Convert to fraction form
    9,615.84/13,269.87 = 5,424.09/x
  3. Step 3: Cross multiply
    9,615.84x = 13,269.87 × 5,424.09
  4. Step 4: Simplify right side
    9,615.84x = 71,976,969.17
  5. Step 5: Solve for x
    x = 71,976,969.17/9,615.84
  6. Step 6: Final answer
    x = 7,485.25

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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.