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Finding the Fourth Proportional to 9,615.84, 13,271.04 and 5,424

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Solution

The fourth proportional to 9,615.84, 13,271.04 and 5,424 is: 7,485.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.84 : 13,271.04 = 5,424 : x
  2. Step 2: Convert to fraction form
    9,615.84/13,271.04 = 5,424/x
  3. Step 3: Cross multiply
    9,615.84x = 13,271.04 × 5,424
  4. Step 4: Simplify right side
    9,615.84x = 71,982,120.96
  5. Step 5: Solve for x
    x = 71,982,120.96/9,615.84
  6. Step 6: Final answer
    x = 7,485.79

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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.