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Finding the Fourth Proportional to 9,615.48, 13,269.60 and 5,424

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Solution

The fourth proportional to 9,615.48, 13,269.60 and 5,424 is: 7,485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.48 : 13,269.60 = 5,424 : x
  2. Step 2: Convert to fraction form
    9,615.48/13,269.60 = 5,424/x
  3. Step 3: Cross multiply
    9,615.48x = 13,269.60 × 5,424
  4. Step 4: Simplify right side
    9,615.48x = 71,974,310.40
  5. Step 5: Solve for x
    x = 71,974,310.40/9,615.48
  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.