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Finding the Fourth Proportional to 9,615.75, 13,269.96 and 5,424

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Solution

The fourth proportional to 9,615.75, 13,269.96 and 5,424 is: 7,485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.75 : 13,269.96 = 5,424 : x
  2. Step 2: Convert to fraction form
    9,615.75/13,269.96 = 5,424/x
  3. Step 3: Cross multiply
    9,615.75x = 13,269.96 × 5,424
  4. Step 4: Simplify right side
    9,615.75x = 71,976,263.04
  5. Step 5: Solve for x
    x = 71,976,263.04/9,615.75
  6. Step 6: Final answer
    x = 7,485.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.