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Finding the Fourth Proportional to 6,293.12, 9,440 and 2,397.84

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Solution

The fourth proportional to 6,293.12, 9,440 and 2,397.84 is: 3,596.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.12 : 9,440 = 2,397.84 : x
  2. Step 2: Convert to fraction form
    6,293.12/9,440 = 2,397.84/x
  3. Step 3: Cross multiply
    6,293.12x = 9,440 × 2,397.84
  4. Step 4: Simplify right side
    6,293.12x = 22,635,609.60
  5. Step 5: Solve for x
    x = 22,635,609.60/6,293.12
  6. Step 6: Final answer
    x = 3,596.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.