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Finding the Fourth Proportional to 37,902.11, 56,853.37 and 9,820.22

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Solution

The fourth proportional to 37,902.11, 56,853.37 and 9,820.22 is: 14,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,902.11 : 56,853.37 = 9,820.22 : x
  2. Step 2: Convert to fraction form
    37,902.11/56,853.37 = 9,820.22/x
  3. Step 3: Cross multiply
    37,902.11x = 56,853.37 × 9,820.22
  4. Step 4: Simplify right side
    37,902.11x = 558,312,601.14
  5. Step 5: Solve for x
    x = 558,312,601.14/37,902.11
  6. Step 6: Final answer
    x = 14,730.38

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