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Finding the Fourth Proportional to 9,241.49, 12,758.91 and 6,014.39

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Solution

The fourth proportional to 9,241.49, 12,758.91 and 6,014.39 is: 8,303.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.49 : 12,758.91 = 6,014.39 : x
  2. Step 2: Convert to fraction form
    9,241.49/12,758.91 = 6,014.39/x
  3. Step 3: Cross multiply
    9,241.49x = 12,758.91 × 6,014.39
  4. Step 4: Simplify right side
    9,241.49x = 76,737,060.71
  5. Step 5: Solve for x
    x = 76,737,060.71/9,241.49
  6. Step 6: Final answer
    x = 8,303.54

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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.