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Finding the Fourth Proportional to 37,847.15, 56,770.44 and 9,764.82

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Solution

The fourth proportional to 37,847.15, 56,770.44 and 9,764.82 is: 14,647.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,847.15 : 56,770.44 = 9,764.82 : x
  2. Step 2: Convert to fraction form
    37,847.15/56,770.44 = 9,764.82/x
  3. Step 3: Cross multiply
    37,847.15x = 56,770.44 × 9,764.82
  4. Step 4: Simplify right side
    37,847.15x = 554,353,127.92
  5. Step 5: Solve for x
    x = 554,353,127.92/37,847.15
  6. Step 6: Final answer
    x = 14,647.16

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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.